Algebra Examples

\frac{e^{x} + e^{- x}}{2}

$\frac{e^{x} + e^{- x}}{2}$

Step 1

Find where the expression

\frac{e^{x} + e^{- x}}{2}

$\frac{e^{x} + e^{- x}}{2}$ is undefined.

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Step 2

The vertical asymptotes occur at areas of infinite discontinuity.

No Vertical Asymptotes

Step 3

Since the limit does not exist, there are no horizontal asymptotes.

No Horizontal Asymptotes

Step 4

Since there is no remainder from the polynomial division, there are no oblique asymptotes.

No Oblique Asymptotes

Step 5

This is the set of all asymptotes.

No Vertical Asymptotes

No Horizontal Asymptotes

No Oblique Asymptotes

Step 6