Question

Please try to answer this question.(tap to get question image).

Answer 1

Things to know :
1) sin x is always bounded function.
i.e.
$- 1 \leqslant sin \: x \: \leqslant 1$
$and \: sin \: \infty \: is \: finite \: \\ \\ 2)finite \: \times 0 = 0 \:$
$hope \: you \: understand \:$



Final answer is 1: