# Find the limit?

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#lim_(x rarr -1)(1+root(3)x)/(1+root(5)x#

##### 3 Answers

#### Explanation:

Given:

Because the expression evaluated at the limit, yields the indeterminant form,

To apply L'Hôpital's rule, one differentiates the numberator and the denominator with respect to the dependent variable:

Perform the differentiations:

Simplify

The limit on the right can be evaluated at

#### Explanation:

The limit:

is in the indeterminate form

graph{(1+root(3)x)/(1+root(5)x) [-2, 0, -1, 5]}

See below

#### Explanation:

As the root is odd we will handle only the real root.

Making

and finally