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

Got another answer? Verify it here!

Learn how to solve limits by l'hôpital's rule problems step by step online. Find the limit of (1+1/x)^(3x) 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. The limit of the product of a function and a constant is equal to the limit of the function, times the constant: \displaystyle \lim_{t\to 0}{\left(at\right)}=a\cdot\lim_{t\to 0}{\left(t\right)}.