Question

lim x->0 tan(1-cosx/x)

Answer 1

What's your best guess? Can you use L'Hopital's rule?

Answer 2

i havent learned yet the L'Hopital's rule but i think:
limx->0 tan(1-cosx/x)= tan limx->0 (1-cosx)/x

Answer 3

Yeah, that's true.

Answer 4

How about the squeeze theorem, are you familiar with that?

Answer 5

so the limit is 0/1?

Answer 6

i dont know the theorem very good because i dont know how to derive good

Answer 7

Actually, I don't know if that'll help us much here. But the limit will be 0/0 of the inside, which is an indeterminate form.

Answer 8

can you help me with this L'hopital's rule?

Answer 9

can you help me with this problem?