# Lim x->0 (tan x- sin x)/x^3=?

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a. 0

b. 1

c. 1/2

d. -1

e. -1/2

a. 0

b. 1

c. 1/2

d. -1

e. -1/2

##### 1 Answer

#### Answer

#### Answer:

#### Explanation

#### Explanation:

#### Answer:

#### Explanation:

Transform the function in this way:

We can use now the well known trigonometric limit:

and using the trigonometric identity:

we have:

While the third function is continuous so:

and we can conclude that:

graph{(tanx-sinx)/x^3 [-1.25, 1.25, -0.025, 1]}

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