Say you have 1 divided by 0, I think it would give 1 because you haven't divided it by anything.

hahaha

Exact value of Pi. No rounding please.

pi is what mathematicians call a

*real number*. This is defined as an infinite sequence of fractions which "gets closer and closer" to some limit. One way of writing out these sequences is using digits e.g. 3.141592653589... corresponds to the sequence (3,31/10,314/100,31415/100,...) but the ...'s are cheating: every ... should be able to be replaced with a

*method* for continuing it indefinitely. The solution is to write a formula for the sequence of fractions: Here is one: f(0) = 0; f(n+1) = f(n) + (4(-1)^n)/(2n+1)

So f(1) = 0 + 4/1 = 4; f(2) = 4 - 4/3; f(3) = 4 - 4/3 + 4/5; f(4) = 4 - 4/3 + 4/5 - 4/7; f(5) = 1052/315; f(6) = 10312/3465.

so pi = (f(n))_n = (4,8/3,52/15,304/105,1052/315,10312/3465,...)

if you have any more questions about it ask away!