Direct Substitution

We can find any limit of a definite function with direct substitution. Let’s find out how we can do this!

Finding limits for the vast majority of points for a given function is as simple as substituting the number that x approaches into the function. Since this turns evaluating limits into an algebra-level substitution, most questions involving limits focus on the cases where substituting does not work.

Let’s start with a simple limit to understand better.

As you will notice, whatever value x takes, our limit can be defined in any point. “So we can write this limit like a function.” The answer to this function is certain as well.

Now if we understand this, we can look at different types of limits.

Undefined Limits

Let’s look at this limit.