Use the limit theorem and the properties of limits to find the limit.

Option C is right

Step-by-step explanation:

A function is given as

Limit is to be found out for x tends to -infinity.

Since both are having even degrees when x tends to -infinity leading terms would turn positive.

We find that numerator and denominator has the same degree.

HEnce a horizontal asymptote exists

COefficients of leading terms are 3 and 8 respectively

Asymtote would be y =3/8

Alternate method:

When x tends to -infinity, 1/x tends to 0

[/tex]

by dividing both numerator and denominator by square of x.

Now take limit as 1/x tends to 0

we get

limit is y tends to 3/8

Hence horizontal asymptote is y =3/8

a

step-by-step explanation: