Question

How do you find the limit of `(3sin4x)/(sin3x)` as x approaches 0?

Answer 1

`4`

Explanation:

`(3sin4x)/(sin3x) = (4((sin 4x)/(4x)))/(((sin 3x)/(3x)))`

so

`lim_(x->0)(3sin4x)/(sin3x) = (4lim_(x->0)((sin 4x)/(4x)))/(lim_(x->0)((sin 3x)/(3x))) = 4`