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Limits by rationalizing


Definition

Limits that require that we apply rationalization to solve them.


Solved Exercises

$\lim_{x\to0}\left(\frac{\sqrt{5+x}-\sqrt{5}}{x}\right)$ 319 views
$\lim_{x\to25}\left(\frac{\sqrt{x}-5}{x-25}\right)$ 179 views
$\lim_{h\to0}\left(\frac{\sqrt{h+2}-\sqrt{2}}{h}\right)$ 180 views
$\lim_{x\to0}\left(\frac{\sqrt{5+x}-1\cdot \sqrt{5}}{x}\right)$ 255 views
$\lim_{x\to0}\left(\frac{\sqrt{x+5}-\sqrt{5}}{x}\right)$ 256 views
$\lim_{z\to10}\left(\frac{\sqrt{z+6}-4}{z-10}\right)$ 181 views
$\lim_{t\to0}\left(\frac{\sqrt{2+t}-\sqrt{2}}{t}\right)$ 228 views
$\lim_{x\to5}\left(\frac{\sqrt{x-1}-2}{x-5}\right)$ 155 views
$\lim_{y\to0}\left(\frac{y^2}{\sqrt{y^2+3}-\sqrt{3}}\right)$ 262 views
$\lim_{x\to0}\left(\frac{x}{\sqrt{x+2}-\sqrt{2}}\right)$ 266 views

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Topics

Operations with infinity
Limits by direct substitution
Limits by factoring

Popular

$\int\ln\left(x\right)^2dx$ 30 views
$\left(a+3b\right)\left(a-3b\right)$ 96 views
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$4+\left(x-1\right)\left(x+3\right)=\left(x-7\right)\left(4x+2\right)$ 90 views
$\csc\left(x\right)+\sin\left(x\right)=\cot\left(x\right)\cdot\cos\left(x\right)$ 117 views
$3\left(x+2\right)^2\left(x-3\right)^2-2\left(x+2\right)^3\left(x-3\right)$ 114 views
$x^3-1\cdot 8 x^2+17x-10>0$ 120 views