Step-by-step Solution

Evaluate the limit of $\left(e^x-\left(\frac{1}{e^x}\right)\right)^{\frac{1}{x^2}}$ as $x$ approaches $\infty$

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Step-by-step explanation

Problem to solve:

$\lim_{x\to∞}\left(e^x-\frac{1}{e^x}\right)^{\frac{1}{x^2}}$

Final Answer

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Problem Analysis

$\lim_{x\to∞}\left(e^x-\frac{1}{e^x}\right)^{\frac{1}{x^2}}$

Main topic:

Limits to Infinity

Related formulas:

1. See formulas

Time to solve it:

~ 0.04 seconds