Can You Solve This Hilarious Limit Problem Involving Sine and Infinity?

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SUMMARY

The forum discussion revolves around a humorous limit problem involving the expression \(\lim_{n\rightarrow\infty}\frac{\sin x}{n}=6\), which is presented as a joke rather than a serious mathematical inquiry. Participants share various math-related jokes and puns, including playful interpretations of integrals and humorous anecdotes from calculus classes. Notable jokes include the "log cabin" pun and a limerick involving integrals, showcasing the blend of humor and mathematics that resonates with both students and enthusiasts.

PREREQUISITES
  • Understanding of basic calculus concepts, including limits and integrals.
  • Familiarity with trigonometric functions, specifically sine.
  • Knowledge of mathematical humor and puns.
  • Basic algebra skills for simplifying expressions.
NEXT STEPS
  • Explore advanced limit theorems in calculus.
  • Learn about the applications of trigonometric functions in calculus.
  • Investigate the history and significance of mathematical humor.
  • Practice solving integrals and limits with real-world applications.
USEFUL FOR

Students of mathematics, educators looking to incorporate humor into their teaching, and anyone interested in the intersection of math and comedy.

  • #151
Office_Shredder said:
There are 10 types of people: Those who know trinary, those who don't, and those who think I just screwed up a binary joke

ahahah, that one's good :smile:
 
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  • #152
Here's a story (perhaps more than just a joke) told by Stan Ulam many years ago.

"Chen Ning Yang, Nobel Prize in Physics (1957), tells a joke which illustrates an aspect of the intellectual relationship between physicists and mathematicians at present. One afternoon, a group of friends came to a city. They had to wash their clothes, so they searched the streets looking for a laundry. They found a place with the shop-sign on the window: WE WASH CLOTHES. One of them went in and asked: 'Can we leave our clothes here for a wash?' The owner answered: 'We don't wash clothes here.' - 'How's that?' asked the newcomer, 'there is a sign on the window that says you do.' - 'We make shop-signs', was the answer. Something similar happens here. We mathematicians make shop-signs for any trade. Physicists use them."
 
  • #153
Galileo said:
A chemist, a physicist, and a mathematician are stranded on an island when a can of food rolls ashore. The chemist and the physicist comes up with many ingenious ways to open the can. Then suddenly the mathematician gets a bright idea: "Assume we have a can opener ..."

Sad, but true:
The Evolution of Math Teaching

1960s: A peasant sells a bag of potatoes for $10. His costs amount to 4/5 of his selling price. What is his profit?
1970s: A farmer sells a bag of potatoes for $10. His costs amount to 4/5 of his selling price, that is, $8. What is his profit?
1970s (new math): A farmer exchanges a set P of potatoes with set M of money. The cardinality of the set M is equal to 10, and each element of M is worth $1. Draw ten big dots representing the elements of M. The set C of production costs is composed of two big dots less than the set M. Represent C as a subset of M and give the answer to the question: What is the cardinality of the set of profits?
1980s: A farmer sells a bag of potatoes for $10. His production costs are $8, and his profit is $2. Underline the word "potatoes" and discuss with your classmates.
1990s: A farmer sells a bag of potatoes for $10. His or her production costs are 0.80 of his or her revenue. On your calculator, graph revenue vs. costs. Run the POTATO program to determine the profit. Discuss the result with students in your group. Write a brief essay that analyzes this example in the real world of economics.

I've got one similar to that, but it's a bit darker:
1. Teaching Math In 1950
A logger sells a truckload of lumber for $100.. His cost of production is 4/5 of the price. What is his profit?

2. Teaching Math In 1960
A logger sells a truckload of lumber for $100. His cost of production is 4/5 of the price, or $80. What is his profit?

3. Teaching Math In 1970
A logger sells a truckload of lumber for $100. His cost of production is $80. Did he make a profit?

4. Teaching Math In 1980
A logger sells a truckload of lumber for $100. His cost of production is $80 and his profit is $20. Your assignment: Underline the number 20.

5. Teaching Math In 1990
A logger cuts down a beautiful forest because he is selfish and inconsiderate and cares nothing for the habitat of animals or the preservation of our woodlands.. He does this so he can make a profit of $20.
What do you think of this way of making a living? Topic for class participation after answering the question: How did the birds and squirrels feel as the logger cut down their homes? (There are no wrong answers.)

6. Teaching Math In 2006
Un hachero vende una carretada de maderapara $100. El costo de la producciones es $80.
 
  • #154
- What's purple and commutative?--> An Abelian Grape

- What's Yellow normed and complete --> A Bananach space..
 
  • #155
what do you get if you cross a pig and a rat?
 
  • #156
andybham said:
what do you get if you cross a pig and a rat?

A journal referee?.. i suppose they're right all the paper are PIG-reviewed.
 
  • #157
tpm said:
A journal referee?.. i suppose they're right all the paper are PIG-reviewed.

No, lol!

|pig||rat|*sin(x)

Hah, sorry, that is terrible!
 
  • #158
but that's just its size

sorry, I'm killing it even worse
 
  • #159
Didn't bother checking if this one has already been posted, but anyway:

Let \epsilon < 0.
 
  • #160
I didn't read through all 11 pages so I hope no one said these.

There are 3 types of mathematicians in the world...those who can count, and those who can't.


My quantum mechanics professor a few years ago said this one.

Q:Why doesn't Heisenberg live in the suburbs?

A: Because he doesn't like to commute.
 
  • #161
Confusing one single letter can turn a homomorphism into a dog.
 
  • #162
Oh my God. I found this on another forum:

A mathematician and an engineer agreed to take part in a psychological test. They sat on one side of a room and waited not knowing what to expect. A door opened on the other side and a naked woman came in the room and stood on the far side. They were then instructed that every time they heard a beep they could move half the remaining distance to the woman. They heard a beep and the engineer jumped up and moved halfway across the room while the mathematician continued to sit, looking disgusted and bored. When the mathematician didn't move after the second beep he was asked why. "Because I know I will never reach the woman." The engineer was asked why he chose to move and replied, "Because I know that very soon I will be close enough for all practical purposes!"
 
  • #163
Wow this thread is bad... :D
 
  • #164
radou said:
Confusing one single letter can turn a homomorphism into a dog.

...I don't get it.
 
  • #165
bit188 said:
Oh my God. I found this on another forum:

A mathematician and an engineer agreed to take part in a psychological test. They sat on one side of a room and waited not knowing what to expect. A door opened on the other side and a naked woman came in the room and stood on the far side. They were then instructed that every time they heard a beep they could move half the remaining distance to the woman. They heard a beep and the engineer jumped up and moved halfway across the room while the mathematician continued to sit, looking disgusted and bored. When the mathematician didn't move after the second beep he was asked why. "Because I know I will never reach the woman." The engineer was asked why he chose to move and replied, "Because I know that very soon I will be close enough for all practical purposes!"

Oh, he means Zeno's paradox! :smile:
 
  • #166
radou said:
Confusing one single letter can turn a homomorphism into a dog.
Does it mean DoG (Domain of G) ?? :confused:
 
  • #167
Reshma said:
Does it mean DoG (Domain of G) ?? :confused:

Nah, I meant kernels vs. kennels. :-p
 
  • #168
Your.Master said:
No harm done. I was also sort of impatient with you...it's exam time, you see.

In the spirit of your joke:

Stupid people will always make more money.

Proof:

By definition,

Power = Work / Time

Rearranging:

Time = Work / Power

Time IS Money, and Knowledge IS Power, so substituting:

Money = Work / Knowledge

Therefore, as knowledge goes to 0, money goes to infinity, regardless of the work being done (if Work > 0 and it is impossible to have negative knowledge).

You said indeed, if Work > 0. But if Work is identically zero (which is not uncommon for stupid people) then Money is the limit of 0 / Knowledge and hence zero.
That sucks (for me, at least).
 
  • #169
jtbell said:
shmoe said:
One of my favorites, find:

\int\frac{1}{cabin}d(cabin)

Houseboat!
Would "beach house" work better?
 
  • #170
Freezers are ice-o-morphic to water
 
  • #171
Office_Shredder said:
Freezers are ice-o-morphic to water

People are homomorphic to humans.
 
  • #172
I don't get post 169 >.< In cabin?...
 
  • #173
log cabin. Mathematicians use "log" to mean what non-mathematicians refer to as "ln". Because base 10 is mathematically less interesting than the natural base.
 
  • #174
Gib Z said:
I don't get post 169 >.< In cabin?...

log(cabin)+C -- Think about it...
 
  • #175
Feldoh said:
log(cabin)+C -- Think about it...
This one's a repeat! :biggrin:
Cruise boat! :-p:-p:wink:
 
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  • #176
someone probably already posted this, but:

Two mathematicians are in a bar. The first one says to the second that the average person knows very little about basic math. The second one disagrees, and claims that most people can cope with a reasonable amount of math. The first mathematician goes off to the washroom, and in his absence the second calls over the waitress. He tells her that in a few minutes, after his friend has returned, he will call her over and ask her a question; all she has to do is answer, "One third x cubed." She agrees, and goes off mumbling to herself. The first guy returns and the second proposes a bet to prove his point. He says he will ask the blonde waitress an integral, and the first laughingly agrees. The second man calls over the waitress and asks, "What is the integral of x squared?" The waitress says, "One third x cubed." Then, while walking away, she turns back and says, "Plus a constant!"

from wikipedia...funyy stuff
 
  • #177
quasar987 said:
Wow, nice apmcavoy!

hey man...that's a killer quote

hahaha
 
  • #178
Warning: The may contain suggestive info, just a bit though XD

A slutty girl walks up to a mathematician and says (suggestively) "Do you know what 69 is?" He says "Well duh, any idiot would its product 3 and 13"
The girl reacts, "..." and he says, "Oh I'm sorry, how strange of me--I forgot to mention they're primes with spacing of 10...haha." You figure what goes on from there. ahaha...not that funny, but i was getting at the "bad" in the bad jokes.
 
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  • #179
strings235 said:
Warning: The may contain suggestive info, just a bit though XD

A slutty girl walks up to a mathematician and says (suggestively) "Do you know what 69 is?" He says "Well duh, any idiot would its product 3 and 13"
The girl reacts, "..." and he says, "Oh I'm sorry, how strange of me--I forgot to mention they're primes with spacing of 10...haha." You figure what goes on from there.


ahaha...not that funny, but i was getting at the "bad" in the bad jokes.

i don't get it

!
 

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