## experimentX Group Title Happy $$\huge \pi$$ day!! prove $$\pi$$ is irrational: one year ago one year ago

1. sauravshakya Group Title

Did u mean to prove pi is a irrational number?

2. experimentX Group Title

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

3. jrod326 Group Title

and i can evan type it in binary code

4. experimentX Group Title

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

5. jrod326 Group Title

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

6. experimentX Group Title

In that case i'll change my question then.

7. sauravshakya Group Title

8. sauravshakya Group Title

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

9. experimentX Group Title

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

10. experimentX Group Title

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.

11. experimentX Group Title

but i does prove something really really nice ..

12. sauravshakya Group Title

and what is that?

13. experimentX Group Title

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

14. experimentX Group Title

a very nice geometrical interpretation ..

15. Hope_nicole Group Title

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

16. experimentX Group Title

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

17. 86camaro Group Title

i love pie but not pi

18. experimentX Group Title

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

19. 86camaro Group Title

i dont know i have herd of that though

20. 86camaro Group Title

i like pie lol

21. jrod326 Group Title

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

22. experimentX Group Title

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

23. jrod326 Group Title

i memorized the first 100 digits

24. jrod326 Group Title

there is a whole lot more for me to memorize

25. experimentX Group Title

wow!!

26. experimentX Group Title

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

27. jrod326 Group Title

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

28. experimentX Group Title

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

29. jrod326 Group Title

brb

30. mathslover Group Title

Well it can be proved by contradiction.

31. experimentX Group Title

give it a try ...

32. mathslover Group Title

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!

33. experimentX Group Title

do you understand any one of those?

34. mathslover Group Title

Welll @experimentX that's a tough question!

35. experimentX Group Title

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

36. mathslover Group Title