Learn how to solve special products problems step by step online. Find the limit of 2^(1/x) as x approaches 0. 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. Evaluate the limit \lim_{x\to0}\left(\frac{1}{x}\right) by replacing all occurrences of x by 0. An expression divided by zero tends to infinity.

Find the limit of 2^(1/x) as x approaches 0