Question

lim x tends to 0 Sin2x/cos2x

Answer 1

Lim x tan2x =tan0
=0

Answer 2

$lim \: x \: tends \: to \: 0 \: \: \frac{ \sin(2x) }{ \cos(2x) } \\ \\ = lim \: x \: tends \: to \: 0 \: \tan(2x) = \tan(2 \times 0) = \tan(0) = 0 \\ \\ \\ hope \: it \: helps...$