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Evaluate the limit $\lim_{x\to0}\left(\frac{\sqrt{1+4x}-\sqrt{1-10x}}{x}\right)$ by replacing all occurrences of $x$ by $0$
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$\frac{\sqrt{1+4\cdot 0}-\sqrt{1-10\cdot 0}}{0}$
Learn how to solve problems step by step online. Find the limit (x)->(0)lim(((1+4x)^1/2-(1-10x)^1/2)/x). Evaluate the limit \lim_{x\to0}\left(\frac{\sqrt{1+4x}-\sqrt{1-10x}}{x}\right) by replacing all occurrences of x by 0. Multiply 4 times 0. Multiply -10 times 0. Calculate the power \sqrt{1}.