Solving: $\lim_{n\to\infty }\left(\left(\frac{n-2}{n}\right)^{\left(n^2\right)}\right)$
Exercise
$\lim_{x\to\infty}\left(\frac{n-2}{n}\right)^{n^2}$
Step-by-step Solution
Learn how to solve addition of numbers problems step by step online. Find the limit of ((n-2)/n)^n^2 as n 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.
Find the limit of ((n-2)/n)^n^2 as n approaches infinity
Final answer to the exercise
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