Question

lim x->0 cos(theta)tan(theta)/theta

Answer 1

\[\Large \lim_{x \to 0} \frac{\cos (x) \tan (x)}{x}? \]

Answer 2

yes

Answer 3

\[ \Large \lim_{x \to 0} \cos (x) \cdot \underbrace{\frac{\tan x}{x}}_{ \to 1}\]

Answer 4

but the x is theta

Answer 5

doesn't matter for this kind of problem.

Answer 6

ok

Answer 7

just notice the identity \[\Large \lim_{x \to 0} \frac{\cos x \tan x}{x}= \lim_{x \to 0} \cos x \lim_{x \to 0} \frac{\tan x}{x} \]
and know that \[\lim_{x \to 0 } \frac{\tan x}{x}=1 \]

Answer 8

so it would be