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

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Learn how to solve limits by l'hôpital's rule problems step by step online. Find the limit of ((x-1)/(x-4))^(2x+3) as x approaches infinity. Rewrite the limit using the identity: a^x=e^{x\ln\left(a\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. Rewrite the product inside the limit as a fraction.