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Limits by rationalizing


Definition

Limits that require that we apply rationalization to solve them.


Solved Exercises

$\lim_{x\to-6}\left(\frac{\sqrt{10-x}-4}{x+6}\right)$ 554 views
$\lim_{x\to-4}\left(\frac{x+4}{\sqrt{3x+13}-1}\right)$ 514 views
$\lim_{x\to-3}\left(\frac{\sqrt{x+7}-2}{x+3}\right)$ 204 views
$\lim_{x\to-2}\left(\frac{\sqrt{3x+10}-2}{x+2}\right)$ 124 views
$\lim_{x\to+a}\left(\frac{\sqrt{b^2-x}-\sqrt{b^2-a}}{x-a}\right)$ 105 views
$\lim_{x\to 10}\left(\frac{\sqrt{x+6}-4}{x-10}\right)$ 41 views
$\lim_{x\to\:0}\left(\frac{\sqrt{3+x}-\sqrt{3}}{x}\right)$ 41 views
$\lim_{x\to-3}\left(\frac{2-\sqrt{x^2-5}}{x+3}\right)$ 35 views
$\lim\:_{x\to\:2}\left(\frac{\sqrt{x}-\sqrt{2}}{x-2}\right)$ 27 views
$\int\ln\left(\frac{x}{x^3}\right)\cdot dx$ 18 views

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Related topics

Operations with infinity
Limits by direct substitution
Limits by factoring

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