How do you find \lim _ { x \rightarrow 2} \frac { 2x + 5} { 11- x ^ { 3} }?

1 Answer
Jun 2, 2017

Answer: 3

Explanation:

Evaluate lim_(x->2)(2x+5)/(11-x^3)

The first step in finding a limit is simply substituting the x value and seeing if the denominator turns into 0 (if the denominator becomes 0, then we would need to do some simplifying to make the denominator not be 0 when we substitute), so:
lim_(x->2)(2x+5)/(11-x^3)=(2(2)+5)/(11-(2)^3)

=(4+5)/(11-8)

=9/3

=3, which is our answer.