Trigonometry Examples

$f (x) = 2^{x} g (x) \log_{2} (x)$

Step 1

Find where the expression $g x \cdot (2^{x} \log_{2} (x))$ is undefined.

$x \leq 0$

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

No oblique asymptotes are present for logarithmic and trigonometric functions.

No Oblique Asymptotes

Step 5

This is the set of all asymptotes.

No Vertical Asymptotes

No Horizontal Asymptotes

Step 6