Question

limit x/1-cosx
x-->0

Answer 1

use L'Hopital's Rule on x/(1-cos(x))

Answer 2

L'Hopital's Rule cant work here.. it will male it1/0 form...

Answer 3

so what will the answer be?

Answer 4

m trying , lets see

Answer 5

lim x/2sin^2(x) = (x^2/4)/(2x sin^2(x/2) = lim 1/(2x) =infinite
x-->0 x-->0

i think so...but not 100% sure...

Answer 6

L'Hopital works by not working - after all the answer is +infinite or -infinite depending on whether you come from 0+ or 0- ... take a look at the graph of x/(1-cos(x)) at 0 for example by typing
lim_(x->0) x/(1-cos(x))
into WolframAlpha at www.wolframalpha.com:
http://www.wolframalpha.com/input/?i=lim_%28x-%3E0%29+x%2F%281-cos%28x%29%29

Answer 7

good job