I know from an online calculator http://www.numberempire.com/derivatives.php that $\lim_{x \to \infty} \left ( \frac{x+2}{x} \right )^{x}=e^{2}$. How do you calculate this step by step?
How to calculate $\lim_{x \to \infty} \left ( \frac{x+2}{x} \right )^{x}=e^{2}$
3
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calculus
limits
exponential-function
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0Take logarithms first, and see if you can massage it into something more amenable to further manipulation. – 2010-11-29
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2How do you define $e$? – 2010-11-29