Trigonometry Examples

$y = \frac{2^{x} + 2^{- x}}{x^{5}}$

Step 1

Find where the expression $\frac{2^{x} + 2^{- x}}{x^{5}}$ is undefined.

$x = 0$

Step 2

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

No Horizontal Asymptotes

Step 3

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

No Oblique Asymptotes

Step 4

This is the set of all asymptotes.

Vertical Asymptotes: $x = 0$

No Horizontal Asymptotes

No Oblique Asymptotes

Step 5