Exercise
$\lim_{x\to0}\left(x^{\frac{3}{4+ln\left(x\right)}}\right)$
Step-by-step Solution
Learn how to solve problems step by step online. Find the limit of x^(3/(4+ln(x))) as x approaches 0. 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^(3/(4+ln(x))) as x approaches 0
Final answer to the exercise
$e^{3}$
Exact Numeric Answer
$20.0855369$