Learn how to solve integrals of rational functions problems step by step online. Find the limit of cos(x)^(7/(x^2)) as x approaches 0. Rewrite the limit using the identity: a^x=e^{x\ln\left(a\right)}. Multiplying the fraction by \ln\left(\cos\left(x\right)\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 cos(x)^(7/(x^2)) as x approaches 0