Find the limit?
#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