James Dale

2022-01-13

Determine the end behavior of the following transcendental functions by analyzing appropriate limits. Then provide a simple sketch of the associated graph, showing asymptotes if they exist.

$f\left(x\right)=\mathrm{sin}x$

redhotdevil13l3

Beginner2022-01-14Added 30 answers

Step 1

Substitute for x

Simplify

Substitute for x

Simplify

Step 2

Sine is defined on entire domain so we have no vertical asymptotes.

For slant asymptotes, we check the lines.

Using formula

Table limit

Simplify

Therefore, there is no slant asymptote.