Happy \( \huge \pi \) day!!
prove \( \pi \) is irrational:

- experimentX

Happy \( \huge \pi \) day!!
prove \( \pi \) is irrational:

- Stacey Warren - Expert brainly.com

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- schrodinger

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- anonymous

Did u mean to prove pi is a irrational number?

- experimentX

Here is a simple way to prove that \( \pi \) is irrational using simple techniques of integral calculus. Who want's to try it on the occasion of \( \pi \) day

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- anonymous

and i can evan type it in binary code

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- experimentX

try to prove it's irrationality. not difficult if you follow the instructions given above image.

- anonymous

im not good at irrationality i was trying to change the subject

- experimentX

In that case i'll change my question then.

- anonymous

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- anonymous

Now, if we can Prove
lim n-->infinity sin(180/n) is irrational

- experimentX

Nope ... that does not prove pi is irrational.

- experimentX

it's the fundamental misunderstanding between limit and value of function. If you find limit of a function, it does not necessarily say that the function has that value.

- experimentX

but i does prove something really really nice ..

- anonymous

and what is that?

- experimentX

sin(x)/x = 1 as x-> 0

- experimentX

a very nice geometrical interpretation ..

- anonymous

Pi is irrational because it never ends or repeats, right?

- experimentX

it never ends ... <-- not just it
it never repeats (with above) <-- yes

- anonymous

i love pie but not pi

- experimentX

there was a Yahoo!! kid ... who loved Pie. I wonder where did he go???

- anonymous

i dont know i have herd of that though

- anonymous

i like pie lol

- anonymous

pie is good and pi is 3.14159 26535 89793 23846 26433 83279 50288 41971 69399 37510 58209 74944 5920 78164 06286 20899 86280 34825 34211 70679

- experimentX

how do you know so many numbers? don't tell me you've memorized all digits of pi

- anonymous

i memorized the first 100 digits

- anonymous

there is a whole lot more for me to memorize

- experimentX

wow!!

- experimentX

when it comes to memory, I am heavy as bag of hammers on a sea.

- anonymous

same i just repeated it alot and it stuck in my brain

- experimentX

i wish i could do that ... not pi but whole 100 theorems.

- anonymous

brb

- mathslover

Well it can be proved by contradiction.

- experimentX

give it a try ...

- mathslover

That can be found here :
http://en.wikipedia.org/wiki/Proof_that_%CF%80_is_irrational
I can not type the whole here.. It is too long!

- experimentX

do you understand any one of those?

- mathslover

Welll @experimentX that's a tough question!

- experimentX

yes the proof of irrationality of pi is not simple. I found particularly this one understandable
http://en.wikipedia.org/wiki/Proof_that_%CF%80_is_irrational#Niven.27s_proof

- mathslover

What about this ?
https://pantherfile.uwm.edu/sboyd/www/m675s08/irrational_pi.pdf

- mathslover

Oh .. It is the same that of Niven proof.

- experimentX

a slight modification ...

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