Final Answer
Step-by-step Solution
Specify the solving method
Evaluate the limit $\lim_{x\to0}\left(\frac{\sqrt{1-x}-\sqrt{1+3x}}{x}\right)$ by replacing all occurrences of $x$ by $0$
Learn how to solve limits by direct substitution problems step by step online.
$\frac{\sqrt{1+0}-\sqrt{1+3\cdot 0}}{0}$
Learn how to solve limits by direct substitution problems step by step online. Find the limit (x)->(0)lim(((1-x)^1/2-(1+3x)^1/2)/x). Evaluate the limit \lim_{x\to0}\left(\frac{\sqrt{1-x}-\sqrt{1+3x}}{x}\right) by replacing all occurrences of x by 0. Add the values 1 and 0. Multiply 3 times 0. Calculate the power \sqrt{1}.