Exercise
$\lim_{x\to\infty}\left(4x\right)^{\frac{1}{x}}$
Step-by-step Solution
Learn how to solve integrals of rational functions problems step by step online. Find the limit of (4x)^(1/x) as x approaches infinity. Rewrite the limit using the identity: a^x=e^{x\ln\left(a\right)}. Multiplying the fraction by \ln\left(4x\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 (4x)^(1/x) as x approaches infinity
Final answer to the exercise
$1$