Find the limit of $\left(\frac{2x+4}{x^2-x+6}\right)^{\frac{3x}{x-1}}$ as $x$ approaches $1$

Learn how to solve limits of exponential functions problems step by step online. Find the limit of ((2x+4)/(x^2-x+6))^((3x)/(x-1)) as x approaches 1. 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)}}. Evaluate the limit \lim_{x\to1}\left(\frac{3x}{x-1}\right) by replacing all occurrences of x by 1. Subtract the values 1 and -1. Multiply 3 times 1.