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

  • #31
I thought this was funny:

In his lecture, ** (some professor) formulated a theorem and said: "The proof is obvious". Then he thought for a minute, left the lecture room, returned after 15 minutes and happily concluded: "Indeed, it is obvious!"

From here
 
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  • #32
AKG said:
I don't get it.
I think it says:

The integral from 1 to the cube root of three
Of zee squared dee zee
Times the cosine of 3pi by nine
Equals the log of the cube root of e
 
  • #33
I like this one...

"Did you hear about the constipated mathmatician?"

"He had to work it out with a pencil!"


Or along similar lines...

"Did you hear about the constipated accountant?"

"He couldn't budget, so he had to use a pencil!"

tee hee:smile:
 
  • #34
The integral from 1 to the cube root of three
Of zee squared dee zee
Times the cosine of 3pi by nine
Equals the log of the cube root of e
That works -- when I originally heard it, it was pronounced:

The integral of the square of 'z',
From one to the cube root of three,
Multiplied by cosine,
Of three pi over nine,
Is the log of the cube root of 'e'.

I think it's a little more poetic this way, but yours is good too! Actually, I fiddled with it a bit to see if I could get it a bit more rhythmic (since it seems a bit clumsy to me), but without success.
 
  • #35
these are sad.
 
  • #36
shmoe said:
Well done. Out of a typical first year calculus class, usually one or two students will shout out "log cabin", causing much groaning in the classroom. I then get to proclaim "Close, it's actually a houseboat" and get confused stares. "You forgot the C!" prompts even louder groans, a double whammy.
ROFL! Were you my high school math teacher? :smile: :smile:
 
  • #37
One time, I was just standing around in the school hallway, and I overheard three people debating over something. They eventually found that one of them was right, and the others complimented each other's efforts. I interrupted their conversation and told them that they were just like the angles in a right triangle, and everyone looked at me like I was crazy or something. (One is right, and the others compliment each other)

Regarding that Sin(x)/n=6 thing, it made me think about the secant of x devided by c...

Hurkyl said:
That works -- when I originally heard it, it was pronounced:
The integral of the square of 'z',
From one to the cube root of three,
Multiplied by cosine,
Of three pi over nine,
Is the log of the cube root of 'e'.
I think it's a little more poetic this way, but yours is good too! Actually, I fiddled with it a bit to see if I could get it a bit more rhythmic (since it seems a bit clumsy to me), but without success.
That's awesome! My only issue is that it wouldn't really work where I live, since "z" isn't pronounced with an "eee" sound here.
 
  • #38
Great limit joke!

I suppose when a log cabin goes to sea (C) it's a house boat.
 
  • #39
Quadratic said:
That's awesome! My only issue is that it wouldn't really work where I live, since "z" isn't pronounced with an "eee" sound here.

yeah that was my problem, we say zed here
 
  • #40
French fourier_jr?
 
  • #41
no, Canadian
 
  • #42
quasar987 said:
French fourier_jr?
I'm pretty sure the US is the only english-speaking country that pronounces it as "zee". It's just like the spelling of colour, flavour, etc., and the way the word "schedule" is pronounced. When I first saw a "Lay-Z-Boy" store, I was like "... huh?". Anyway, just change the z into something like T or B, and the poem works just fine all around. :smile:
 
  • #43
jtbell said:
Q: Why do computer scientists always confuse Halloween and Christmas?
A: Because 31 OCT(al) = 25 DEC(imal).

C really is a great programming language. I mean, without it, we would be coding in BASI, OBOL, and PASAL.
 
  • #44
Excuse me professor, but I think I've found a counter-example.
That's ok, I've got two proofs.
 
  • #45
When the math lecture has you drowning in a sea of abstraction, ask the professor to toss you a concrete life preserver.
 
  • #46
fourier jr said:
no, Canadian
Which university?
 
  • #47
quasar987 said:
Which university?
uvic, aka university of victoria (i hope that's more than 10 characters)
 
  • #48
Oh! What are you doing so far from Quebec and speaking French? Are you lost? :biggrin:
 
  • #49
People are right about my sense of humour: it has 180 degree symmetry about the origin. :smile:
 
  • #50
This is |BS|!
 
  • #51
My grades are always complex. They have a real and an imaginary part.
 
  • #52
"Have solved the Riemann Hypothesis" - G.H. Hardy

For anyone here who doesn't know the story, Hardy wrote this on a postcard to a colleague just before embarking on a stormy sea voyage. Hardy (an atheist) felt God wouldn't allow him to perish with such a claim to fame.
 
  • #53
So, e^x the exponential function was walking down the street one day.. when he sees a running constant...
"AAHHH! THE DIFFERENTIAL OPERATOR IS COMING!" screamed the constant
"Hah, I'm not afraid of him, unlike you he can't change me!"
e^x looks into the far distance only to notice the differential operator on his way...
Once he gets close to e^x...
"Hey there!"
The differential operator let's out his hand..
"Hello, I'm d/dt!"

Got it off some site... but it was explained differently.
 
  • #54
Bob3141592 said:
"Have solved the Riemann Hypothesis" - G.H. Hardy
For anyone here who doesn't know the story, Hardy wrote this on a postcard to a colleague just before embarking on a stormy sea voyage. Hardy (an atheist) felt God wouldn't allow him to perish with such a claim to fame.
yeah i think that's kind of a reference to fermat who left his note in the margin of a book saying... well everyone knows that. hilbert said if he were to wake up after sleeping for 1000yrs the 1st thing he'd do is ask whether the riemann hypothesis has been proven or not. i think i'd do what austin powers did, take a huge pee. :cool:
 
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  • #55
Pseudo Statistic said:
Got it off some site... but it was explained differently.
Here's a more elaborate version (the longer setup makes it funnier, IMO) I found http://homepage.mac.com/ehgoins/iblog/B335600579/C307790143/E20050730135430/index.html :
The cocky exponential function e^x is strolling along the road insulting the functions he sees walking by. He scoffs at a wandering polynomial for the shortness of its Taylor series. He snickers at a passing smooth function of compact support and its glaring lack of a convergent power series about many of its points. He positively laughs as he passes |x| for being nondifferentiable at the origin. He smiles, thinking to himself, "Damn, it's great to be e^x. I'm real analytic everywhere. I'm my own derivative. I blow up faster than anybody and shrink faster too. All the other functions suck."

Lost in his own egomania, he collides with the constant function 3, who is running in terror in the opposite direction.

"What's wrong with you? Why don't you look where you're going?" demands e^x. He then sees the fear in 3's eyes and says "You look terrified!"

"I am!" says the panicky 3. "There's a differential operator just around the corner. If he differentiates me, I'll be reduced to nothing! I've got to get away!" With that, 3 continues to dash off.

"Stupid constant," thinks e^x. "I've got nothing to fear from a differential operator. He can keep differentiating me as long as he wants, and I'll still be there."

So he scouts off to find the operator and gloat in his smooth glory. He rounds the corner and defiantly introduces himself to the operator. "Hi. I'm e^x."

"Hi. I'm d / dy."
 
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  • #56
  • #57
that was published first in http://www.maledicta.org" vol III #1 which came out in 1979. it's very old. (but funny)
 
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  • #58
These are funny too me o_O

Not really math, but amusing non the less

Q: Why couldn't the anarchist draw a straight line?

A: Because he didnt have a ruler
 
  • #59
ok, not really math, but funny nonetheless

2 atoms were walking down the street. One says to the other "oh no, i think i have lost a electron"

The other says "are yout sure?"

To which the first replies "Yes, I am positive!"
 
  • #60
Three Statisticians went on a hunting trip. They came over a rise and saw a rabbit sitting on the next hill.

The first one aimed his rifle and said "Just watch, I'll get him", but he shot way too low with the bullet landing well short of the rabbit.

The second one said "Ok he's mine now, I'll get him", but he aimed way too high with the bullet passing well over the rabbits head.

The third statistician immediately leapt in the air with excitement and cried out "We got him!".
 

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