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Evaluate the limit $\lim_{x\to1}\left(\frac{\sqrt{x+3}-\sqrt{3x+1}}{\sqrt{x-1}}\right)$ by replacing all occurrences of $x$ by $1$
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$\frac{\sqrt{1+3}-\sqrt{3\cdot 1+1}}{\sqrt{1-1}}$
Learn how to solve limits by direct substitution problems step by step online. Find the limit (x)->(1)lim(((x+3)^1/2-(3x+1)^1/2)/((x-1)^1/2)). Evaluate the limit \lim_{x\to1}\left(\frac{\sqrt{x+3}-\sqrt{3x+1}}{\sqrt{x-1}}\right) by replacing all occurrences of x by 1. Subtract the values 1 and -1. Add the values 1 and 3. Multiply 3 times 1.