Exercise
$\lim_{x\to\infty}\left(1+\frac{5}{2x}\right)^{\left(\frac{2x}{4}-2\right)}$
Step-by-step Solution
Learn how to solve problems step by step online. Find the limit of (1+5/(2x))^((2x)/4-2) as x approaches infinity. Take \frac{2}{4} out of the fraction. Multiplying the fraction by x. 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)}}.
Find the limit of (1+5/(2x))^((2x)/4-2) as x approaches infinity
Final answer to the exercise
indeterminate