Examples of How to Find Limits in Calculus

Calculus limit problems can be easy to solve if you have had some practice and have seen some examples. Below are some examples of how to find limits in Calculus. Note that if by substituting the limit for x, the answer exists then that answer is the limit that you are trying to find.

Example 1:

Find of the limit of the following polynomial, when x is a positive number.

This calculus limit problem is very easy to solve. Just substitute 7 for x in the equation x² + 1. You will get 50.

Example 2:

Find of the limit of the following polynomial, when x is a positive number.

Even if the function is a little more complicated, all you still have to do is substitute the x for the value that x is approaching. In this case, substitute 3 for x in the equation. You will get:

Limit = 9 + 6 - 3 = 12

Example 3:

Find of the limit of the following polynomial, when x is a negative number.

Even when x is approaching a negative number, you can still substitute that number for x in finding your limit. If the function can be simplified, you might want to simplified it first to make it easier. Otherwise, just substitute x for -1 and you will get:

Limit = (-1 -1) / (-1+2) = -2