Question Detail

MTH 102 Differentiation Objective Question

Question

What is the horizontal asymptote of \( f(x) = \frac{(x-14)^2}{(x+18)(x-14)} \)?
Options
A \( y = 0 \)
B \( y = 14 \)
C \( y = 1 \)
Correct Answer
D No horizontal asymptote
Correct Answer

Option C is the correct answer.

Detailed Explanation

Simplify to ( \frac{x-14}{x+18} ). As ( x \to \infty ), the leading coefficients ratio is 1/1, so ( y=1 ).

Hint

Divide the leading coefficient of the numerator by the leading coefficient of the denominator.

Question Info