Section 3: Evaluating Limits Analytically Let and. Find

Section 1.3: Evaluating Limits Analytically

Let and . Find:

• Let and . Find:

Let and . Find the following limits.

• Let and . Find the following limits.

For what value(s) of x can the limit not be evaluated using direct substitution?

• For what value(s) of x can the limit not be evaluated using direct substitution?

Often limits can not be evaluated at a value using Direct Substitution. If this is the case, try to find another function that agrees with the original function except at the point in question. In other words…

• Often limits can not be evaluated at a value using Direct Substitution. If this is the case, try to find another function that agrees with the original function except at the point in question. In other words…

Example