experimentX
  • experimentX
Happy \( \huge \pi \) day!! prove \( \pi \) is irrational:
Mathematics
  • Stacey Warren - Expert brainly.com
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katieb
  • katieb
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anonymous
  • anonymous
Did u mean to prove pi is a irrational number?
experimentX
  • 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
  • anonymous
and i can evan type it in binary code

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experimentX
  • experimentX
try to prove it's irrationality. not difficult if you follow the instructions given above image.
anonymous
  • anonymous
im not good at irrationality i was trying to change the subject
experimentX
  • experimentX
In that case i'll change my question then.
anonymous
  • anonymous
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anonymous
  • anonymous
Now, if we can Prove lim n-->infinity sin(180/n) is irrational
experimentX
  • experimentX
Nope ... that does not prove pi is irrational.
experimentX
  • 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
  • experimentX
but i does prove something really really nice ..
anonymous
  • anonymous
and what is that?
experimentX
  • experimentX
sin(x)/x = 1 as x-> 0
experimentX
  • experimentX
a very nice geometrical interpretation ..
anonymous
  • anonymous
Pi is irrational because it never ends or repeats, right?
experimentX
  • experimentX
it never ends ... <-- not just it it never repeats (with above) <-- yes
anonymous
  • anonymous
i love pie but not pi
experimentX
  • experimentX
there was a Yahoo!! kid ... who loved Pie. I wonder where did he go???
anonymous
  • anonymous
i dont know i have herd of that though
anonymous
  • anonymous
i like pie lol
anonymous
  • 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
  • experimentX
how do you know so many numbers? don't tell me you've memorized all digits of pi
anonymous
  • anonymous
i memorized the first 100 digits
anonymous
  • anonymous
there is a whole lot more for me to memorize
experimentX
  • experimentX
wow!!
experimentX
  • experimentX
when it comes to memory, I am heavy as bag of hammers on a sea.
anonymous
  • anonymous
same i just repeated it alot and it stuck in my brain
experimentX
  • experimentX
i wish i could do that ... not pi but whole 100 theorems.
anonymous
  • anonymous
brb
mathslover
  • mathslover
Well it can be proved by contradiction.
experimentX
  • experimentX
give it a try ...
mathslover
  • 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
  • experimentX
do you understand any one of those?
mathslover
  • mathslover
Welll @experimentX that's a tough question!
experimentX
  • 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
  • mathslover
What about this ? https://pantherfile.uwm.edu/sboyd/www/m675s08/irrational_pi.pdf
mathslover
  • mathslover
Oh .. It is the same that of Niven proof.
experimentX
  • experimentX
a slight modification ...

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