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