# Step-by-step Solution

## Find the limit $\sqrt{\lim_{x\to{nfi}}\left(x^2+7x+5\right)}-\sqrt{x^2+6}$

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### Videos

$\sqrt{-n^2f^2+7nfi+5}-\sqrt{x^2+6}$

## Step-by-step explanation

Problem to solve:

$\lim_{x\to{in\cdot f}}\left(x^2+7x+5\right)^{\frac{1}{2}}-\left(x^2+6\right)^{\frac{1}{2}}$
1

The limit of a sum of two functions is equal to the sum of the limits of each function: $\displaystyle\lim_{x\to c}(f(x)\pm g(x))=\lim_{x\to c}(f(x))\pm\lim_{x\to c}(g(x))$

$\sqrt{\lim_{x\to{nfi}}\left(x^2\right)+\lim_{x\to{nfi}}\left(7x\right)+\lim_{x\to{nfi}}\left(5\right)}-\sqrt{x^2+6}$

$\sqrt{-n^2f^2+7nfi+5}-\sqrt{x^2+6}$
$\lim_{x\to{in\cdot f}}\left(x^2+7x+5\right)^{\frac{1}{2}}-\left(x^2+6\right)^{\frac{1}{2}}$

Limits

~ 0.59 seconds