Here we will look closer at all indeterminate expressions. We will illustrate
by examples that each indeterminate expression can yield any conceivable
answer, including any (positive) real number, zero, (negative) infinity, or
the limit may not exist. We chose to show examples of limits at a proper
point, namely
In the following examples, c stands for any real number unless noted otherwise.
The indeterminate expression
These examples show that the expression
The indeterminate expression
Again, we see that the expression
The indeterminate expression :
Now we can get anything between zero and infinity, included, and also DNE.
The indeterminate expression :
So we can get anything (real numbers, infinity, DNE) from .
The indeterminate expression
The indeterminate expression
So we can make the expression
The indeterminate expression
Again,
The indeterminate expression