Question

What is the limit of tan(2x)/tan(pi*x) as x approaches 0? I can't use L'Hopital's thingy. Please show work.

Answer 1

...sorry, but how did you get\[\tan 2n =2\left( 1+\tan ^{2}2n \right)\]?
is it a trigonometric identity? because I have never seen it before... ><

Answer 2

I am wondering the same

Answer 3

just convert tan to sin and cos

Answer 4

hartnn, that doesn't seem to do much. It still leaves sin in the denominator, which as x approaches 0 = 0. And you can't have 0 in the denominator...

Answer 5

oh.......then , use tan a/ a (with a->0) = 1