Exercise
$\lim_{x\to0}\left(x\sqrt{7+x^{-2}}\right)$
Step-by-step Solution
Learn how to solve multiplication of integers problems step by step online. Find the limit of x(7+x^(-2))^(1/2) as x approaches 0. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Evaluate the limit \lim_{x\to0}\left(x\sqrt{7+\frac{1}{x^{2}}}\right) by replacing all occurrences of x by 0. Calculate the power 0^{2}. An expression divided by zero tends to infinity.
Find the limit of x(7+x^(-2))^(1/2) as x approaches 0
Final answer to the exercise
indeterminate