Mathematics

Mathematics

Problem

Let

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

. Which statement best describes the behavior of

h(x)

as

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

as

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

as

x\to-1^+

d)

h(x)\to0

from both the left and the right

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