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The power of a product is equal to the product of it's factors raised to the same power
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$\lim_{h\to0}\left(\frac{\sqrt{3x+h}-\sqrt{3}\sqrt{x}}{h}\right)$
Learn how to solve limits by direct substitution problems step by step online. Find the limit (h)->(0)lim(((3x+h)^1/2-(3x)^1/2)/h). The power of a product is equal to the product of it's factors raised to the same power. Calculate the power \sqrt{3}. Evaluate the limit \lim_{h\to0}\left(\frac{\sqrt{3x+h}-\sqrt{3}\sqrt{x}}{h}\right) by replacing all occurrences of h by 0. x+0=x, where x is any expression.