Final Answer
Step-by-step Solution
Specify the solving method
Combine $1+\frac{1}{x}$ in a single fraction
Learn how to solve limits of exponential functions problems step by step online.
$\lim_{x\to0}\left(\left(\frac{1+x}{x}\right)^x\right)$
Learn how to solve limits of exponential functions problems step by step online. Find the limit of (1+1/x)^x as x approaches 0. Combine 1+\frac{1}{x} in a single fraction. Rewrite the limit using the identity: a^x=e^{x\ln\left(a\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.