Let . What is…

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Let

g(x)=\dfrac{(x-5)^{2}(x+2)}{(x-5)(x-3)}

. What is

\displaystyle \lim_{x \to 5} g(x)

? (a)

\dfrac{7}{2}

(b)

7

(c)

0

(d) The limit does not exist because the expression grows without bound