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

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In summary: For what did Cauchy know, or Christoffel,Or Fourier, or any Bools or Euler,Wielding their compasses, their pens and rulers,Of thy supernal sinusoidal spell?Cancel me not--for what then shall remain?Abscissas some mantissas, modules, modes,A root or two, a torus and a node:The inverse of my verse, a null domain.Ellipse of bliss, converge, O lips divine!The product o four scalars is defined!Cyberiad draws nigh, and the skew mindCuts capers like a happy haversine.I see the eigenvalue in thine eye,I hear the tender tensor in thy sigh.Bern
  • #211
153 and 641 were dating, and 153 said to 641, "I love you 641. I love how you're a sum of fourth powers. I love how you're a divisor of a Fermat number."

641 replied, "I, uh, I love you too, 153."

"Why do you love me, 641?" asked 153.

"Well, I uh, I love how you're the sum of the cubes of your digits."

"You don't love me!" cried 153. "You just like my base ten representation!"
 
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  • #212
Old but good:

 
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  • #213
A mathematician walks into [tex]\overline{A}[/tex] and says "I'm sorry, I didn't realize you were closed".
 
  • #214
Dragonfall said:
METHODS FOR PUTTING AN ELEPHANT INTO A REFRIGERATOR:

Algebra: Show that parts of the elephant can be put into the fridge, then show that the fridge is closed under addition.

Number Theory: Use induction, you can always squeeze a bit more in.

Analysis: Differentiate the elephant, put it inside the fridge, then integrate.

Topology: The elephant is compact, so it can be put into a finite collection of refrigerators. That's usually good enough.

Algebraic topology: Replace the interior of the refrigerator by its universal cover, R^3.

Set theory: refrigerator = { elephant }

Numerical analysis: Put its trunk in and refer the rest to the error term.

Analysis:
1) Differentiate it and put into the refrig. Then integrate it in the refrig.
2) Redefine the measure on the referigerator (or the elephant).
3) Apply the Banach-Tarski theorem.Number theory:
1) First factorize, second multiply.
2) Use induction. You can always squeeze a bit more in.

Algebra:
1) Step 1. Show that the parts of it can be put into the refrig.
Step 2. Show that the refrig. is closed under the addition.
2) Take the appropriate universal refrigerator and get a surjection from refrigerator to elephant.

Topology:
1) Have it swallow the refrig. and turn inside out.
2) Make a refrig. with the Klein bottle.
3) The elephant is homeomorphic to a smaller elephant.
4) The elephant is compact, so it can be put into a finite collection of refrigerators. That's usually good enough.
5) The property of being inside the referigerator is hereditary. So, take the elephant's mother, cremate it, and show that the ashes fit inside the refrigerator.
6) For those who object to method 3 because it's cruel to animals. Put the elephant's BABY in the refrigerator.

Algebraic topology:
Replace the interior of the refrigerator by its universal cover, R^3.

Linear algebra:
1) Put just its basis and span it in the refrig.
2) Show that 1% of the elephant will fit inside the refrigerator. By linearity, x% will fit for any x.

Affine geometry:
There is an affine transformation putting the elephant into the refrigerator.

Set theory:
1) It's very easy!
refrigerator = { elephant }
2) The elephant and the interior of the refrigerator both have cardinality c.

Geometry:
Declare the following:
Axiom 1. An elephant can be put into a refrigerator.

Complex analysis:
Put the refrig. at the origin and the elephant outside the unit circle. Then get the image under the inversion.

Numerical analysis:
1) Put just its trunk and refer the rest to the error term.
2) Work it out using the Pentium.

Statistics:
1) bright statistician.
Put its tail as a sample and say "Done."

2) dull statistician.
Repeat the experiment pushing the elephant to the refrig.

3) Our NEW study shows that you CAN'T put the elephant in the refrigerator.
 
  • #215
^lol

[tex]\int e^x = e^x + C[/tex]

i know its missing the dx, its supposed to read sex = extc

sorry, i know its lame..
 
  • #216
We have separate thread for lame jokes.
 
  • #217
These are supposedly questions actually asked of applicants for a programming job:




How do you put a giraffe into the refrigerator?








Correct answer: Open the refrigerator door, put the giraffe in, and close the door. This question tests whether or not the candidate is doing simple things in a complicated way.




How do you put an elephant in the refrigerator?








Incorrect answer: Open the refrigerator door, put in the elephant, and close the door. Correct answer: Open the refrigerator door, take out the giraffe, put in the elephant, and close the door. This question tests your foresight.





The Lion King is hosting an animal conference. All the animals in the world attend except one. Which animal does not attend?









Correct answer: The elephant. The elephant is in the refrigerator, remember? This tests if you are capable of comprehensive thinking.








There is a river notoriously known for it’s large crocodile population. With ease, how do you safely cross it?










Correct answer: Simply swim across. All of the crocodiles are attending the Lion King’s animal conference. This questions your reasoning ability.
 
  • #218
camilus said:
^lol

[tex]\int e^x = e^x + C[/tex]

i know its missing the dx, its supposed to read sex = extc

sorry, i know its lame..
I learned it as

[tex]\int e^x = f(u^n)[/tex]
 
  • #219
I like my version because it's an actual formula.
 
  • #220
Without dx it is not.
 
  • #221
ok smart guy it can still be read like a real integral: integral of e to the x equals e to the x + c.
 
  • #222
or Sex=ex t C
 
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