# How can I solve this limit? lim x---->0 (sin^3x) /(x-sinx)^3

##### 1 Answer

Jun 28, 2018

#### Explanation:

Divide and multiply by

Using the well known trigonometric limit:

and then:

On the other hand to evaluate:

note that the numerator is finite and the denominator tends to zero and is always positive because

and so: