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marishachu [46]
3 years ago
5

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

Mathematics
1 answer:
pashok25 [27]3 years ago
5 0

As x tends to infinity the function f(x) = \frac{2x}{1-x^{2} } approaches zero.

Given function is:

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

<h3>What is a function?</h3>

A function f(x) is a rule which relates two variables where x and y are independent and dependent variables.

Divide the numerator and denominator of the given function by x.

f(x) = \frac{2}{\frac{1}{x} -x}

\lim_{x \to \infty} f(x) \\\\\lim_{x \to \infty} \frac{2}{\frac{1}{x} -x}

As we know that as x approaches the infinity 1/x approaches 0.

So, \\\\\lim_{x \to \infty} \frac{2}{\frac{1}{x} -x} =  \lim_{x \to \infty} \frac{2}{-x}

\lim_{x \to \infty} \frac{-2}{x} =0

Therefore, as x tends to infinity the function f(x) = \frac{2x}{1-x^{2} } approaches zero.

To get more about functions visit:

brainly.com/question/25638609

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