What is the limit of tan(5x)/sin(3x) as x tends to 0. I knw the answer to this question,just want to knw hw they arrived at the answer.pls help!

Lomba:
What is the limit of tan(5x)/sin(3x) as x tends to 0. I knw the answer to this question,just want to knw hw they arrived at the answer.pls help!

Since the limit of the expression is undefined when x => 0 (i.e. Sin(0) = 0), you'll take the derivative of the numerator and denominator separately, which will give:
5sec^2(5x) / 3cos(3x). You then take the limit again.

Thank u very much bro! am grateful