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Factor the polynomial $2x^2+16$ by it's greatest common factor (GCF): $2$
$\lim_{x\to0}\left(\frac{\sqrt{4+5x}-2}{3x-4+\sqrt{2\left(x^2+8\right)}}\right)$
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$\lim_{x\to0}\left(\frac{\sqrt{4+5x}-2}{3x-4+\sqrt{2\left(x^2+8\right)}}\right)$
Learn how to solve limits by direct substitution problems step by step online. Find the limit of ((4+5x)^(1/2)-2)/(3x-4(2x^2+16)^(1/2)) as x approaches 0. Factor the polynomial 2x^2+16 by it's greatest common factor (GCF): 2. The power of a product is equal to the product of it's factors raised to the same power. Evaluate the limit \lim_{x\to0}\left(\frac{\sqrt{4+5x}-2}{3x-4+\sqrt{2}\sqrt{x^2+8}}\right) by replacing all occurrences of x by 0. Multiply 3 times 0.
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