Let . Which statement best describes the behavior of as approaches…

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

Problem

Let

h(x)=\dfrac{x-2}{(x+1)^2}

. Which statement best describes the behavior of

h(x)

x

approaches

-1

? (a)

h(x)\to+\infty

from both the left and the right (b)

h(x)\to-\infty

from both the left and the right (c)

h(x)\to-\infty

x\to-1^-\text{ and }h(x)\to+\infty

x\to-1^+

(d)

h(x)\to0

from both the left and the right