Learn how to solve problems step by step online. Find the limit of (cos(x)^2)/(e^(-x)) as x approaches -infinity. The limit of the product of two functions is equal to the product of the limits of each function. Since the exponent of the denominator is negative, we can bring it to the numerator and thus simplify. Apply the power rule for limits: \lim_{x\to a}\left(f(x)\right)^n=\left(\lim_{x\to a}f(x)\right)^n. Because cosine is a continuous function, we can bring the limit inside of the cosine.

Find the limit of (cos(x)^2)/(e^(-x)) as x approaches -infinity