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sladkih [1.3K]
3 years ago
10

Which statement describes the behavior of the function f (x) = StartFraction 2 x Over 1 minus x squared EndFraction?

Mathematics
2 answers:
Ghella [55]3 years ago
6 0

Answer:

It's B on edge

Step-by-step explanation:

Anastaziya [24]3 years ago
3 0

Answer:

Option B.

Step-by-step explanation:

The given function is

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

We have find the behavior of the function f (x) as  x approaches infinity.

The given function can be rewritten as

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

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

lim_{x\rightarrow \infty}f(x)=lim_{x\rightarrow \infty}\dfrac{2}{x(\dfrac{1}{x^2}-1)}

Apply limit.

lim_{x\rightarrow \infty}f(x)=\dfrac{2}{\infty(\dfrac{1}{\infty^2}-1)}

lim_{x\rightarrow \infty}f(x)=0

The graph approaches 0 as x approaches infinity.

Therefore, he correct option is B.

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