Learn how to solve problems step by step online. Find the limit of (1+1/(2x^3))^x^2 as x approaches infinity. 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. Rewrite the product inside the limit as a fraction.

Find the limit of (1+1/(2x^3))^x^2 as x approaches infinity