what is the lim x csc x as x approaches 0?

Question

thnx! :)

Answer 1

I think the answer is 1. csc x = 1/sin x so the equation can be written as lim x/sinx as x approaches 0. I think when you have that limit equation the answer is always 1.

Answer 2

lim x -> 0 of x*csc(x) is the same as
lim x->0 x/sin(x) From L'Hospitals rule
lim (f(x)/g(x)) = lim f'(x)/lim g'(x) so this becomes
lim x-> 0 1/cos(x) = 1


Doug