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Limits by rationalizing


Definition

Limits that require that we apply rationalization to solve them.


Solved Exercises

Evaluate the limit $\lim_{x\to1}\left(\frac{x^2-1}{\sqrt{x}-1}\right)$ 1d ago
Evaluate the limit $\lim_{x\to0}\left(\frac{\sqrt{x+2}-\sqrt{2}}{x}\right)$ 1d ago
Evaluate the limit $\lim_{x\to2}\left(\frac{4-x^2}{3-\sqrt{x^2+5}}\right)$ 1d ago
Evaluate the limit $\lim_{x\to0}\left(\frac{\sqrt{5+x}-1\cdot \sqrt{5}}{x}\right)$ 1d ago
Evaluate the limit $\lim_{x\to5}\left(\frac{\sqrt{x-1}-2}{x^2-25}\right)$ 1d ago
Evaluate the limit $\lim_{x\to0}\left(\frac{\sqrt{1+x}-1}{x}\right)$ 1d ago
Evaluate the limit $\lim_{x\to 10}\left(\frac{\sqrt{x+6}-4}{x-10}\right)$ 2d ago
Evaluate the limit $\lim_{x\to-4}\left(\frac{x+4}{\sqrt{3x+13}-1}\right)$ 2d ago
Evaluate the limit $\lim_{x\to0}\left(\frac{\sqrt{x+1}-1}{x}\right)$ 2d ago
Evaluate the limit $\lim_{x\to4}\left(\frac{x-4}{3-\sqrt{x+5}}\right)$ 2d ago

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Related topics

Operations with infinity
Limits by direct substitution
Limits by factoring

Popular problems

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