Learn how to solve trigonometric equations problems step by step online. Find the limit of (e^(4x))/(3^x) as x approaches infinity. The limit of the quotient of two functions is the quotient of their limits. 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\to\infty }\left(4x\right) by replacing all occurrences of x by \infty .

Find the limit of (e^(4x))/(3^x) as x approaches infinity