Question

\[\lim_{x \rightarrow 0} \frac{\sin(\tan(x))}{\sin(x)}\]
I see no way I can usefully manipulate this algebraically...cannot use l'Hopital's rule or series expansions. Just algebra

Answer 1

let\[t=\tan x\]

Answer 2

Let me try substitution first

Answer 3

t = tanx.
Now try using sint/t =1

Answer 4

???