Question

lim with x yields infinity below left parenthesis fraction numerator t left parenthesis 2 over denominator 2 end fraction s to the power of 5 less or equal than fraction numerator 4 s plus 4 over denominator 1 plus-or-minus 1 end fraction division sign

Answer 1

The vertical asymptotes are x=3 and x=-3. The horizontal asymptote is y=20.

Step-by-step explanation:

The given function is

Equate the denominator equal to 0, to find the vertical asymptotes.

Add 9 on both sides.

Taking square root on both sides.

Therefore the vertical asymptotes are x=3 and x=-3.

The given function can be written as

Degree of numerator and denominator are same.If degree of numerator and denominator are same, then horizontal asymptote is

Therefore the horizontal asymptote is y=20.

Explanation:

Hope this helps:)