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Step-by-step Solution

Find the limit $\lim_{x\to∞}\left(\frac{x+8x^2}{2x^2-1}\right)^{\left(\frac{1}{2}\right)}$

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Answer

$\frac{\sqrt{∞+8∞^2}}{\sqrt{2∞^2-1}}$

Step-by-step explanation

Problem to solve:

$\lim_{x\to∞}\left(\frac{x+8x^2}{2x^2-1}\right)^{\frac{1}{2}}$
1

Divide $1$ by $2$

$\sqrt{\lim_{x\to∞}\left(\frac{x+8x^2}{2x^2-1}\right)}$

Unlock this step-by-step solution!

Answer

$\frac{\sqrt{∞+8∞^2}}{\sqrt{2∞^2-1}}$
$\lim_{x\to∞}\left(\frac{x+8x^2}{2x^2-1}\right)^{\frac{1}{2}}$

Main topic:

Limits

Time to solve it:

~ 0.1 seconds

Related topics:

Limits

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