We have an answer to "SImplify the indicated limits on the following. limx→∞3x2+5x2+1"

defazajx

Answered question

2021-10-31

SImplify the indicated limits on the following.

lim_{x \to \infty} \frac{3 x^{2} + 5}{x^{2} + 1}

Answer & Explanation

grbavit

Skilled2021-11-01Added 109 answers

According to the given information, it is required to find the limit.

lim_{x \to \infty} \frac{3 x^{2} + 5}{x^{2} + 1}

Now find the value of limit.

lim_{x \to \infty} \frac{3 x^{2} + 5}{x^{2} + 1} = lim_{x \to \infty} \frac{x^{2} (3 + \frac{5}{x^{2}})}{x^{2} (1 + \frac{1}{x^{2}})}

= lim_{x \to \infty} \frac{3 + \frac{5}{x^{2}}}{1 + \frac{1}{x^{2}}}

= \frac{3 + \frac{5}{\infty}}{1 + \frac{1}{\infty}}

= \frac{3 + 0}{1 + 0}

lim_{x \to \infty} \frac{3 x^{2} + 5}{x^{2} + 1} = 3

Jeffrey Jordon

Expert2022-06-24Added 2575 answers

Answer is given below (on video)

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