Learn how to solve special products problems step by step online. Find the limit of (x^2+1)^(1/(xsin(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^2+1\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^2+1)^(1/(xsin(x))) as x approaches 0