Exercise
$\lim_{x\to1}\left(x\right)^{\frac{1}{8x^2-8}}$
Step-by-step Solution
Learn how to solve special products problems step by step online. Find the limit of x^(1/(8x^2-8)) as x approaches 1. Rewrite the limit using the identity: a^x=e^{x\ln\left(a\right)}. Multiplying the fraction by \ln\left(x\right). Apply the power rule of limits: \displaystyle{\lim_{x\to a}f(x)^{g(x)} = \lim_{x\to a}f(x)^{\displaystyle\lim_{x\to a}g(x)}}. The limit of a constant is just the constant.
Find the limit of x^(1/(8x^2-8)) as x approaches 1
Final answer to the exercise
$\sqrt[16]{e}$