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Apply the formula: $\frac{a^n}{b^n}$$=\left(\frac{a}{b}\right)^n$, where $a^n=e^x$, $a=e$, $b=2$, $b^n=2^x$, $a^n/b^n=\frac{e^x}{2^x}$ and $n=x$
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$\lim_{x\to\infty }\left(\left(\frac{e}{2}\right)^x\right)$
Learn how to solve problems step by step online. (x)->(infinity)lim((e^x)/(2^x)). Apply the formula: \frac{a^n}{b^n}=\left(\frac{a}{b}\right)^n, where a^n=e^x, a=e, b=2, b^n=2^x, a^n/b^n=\frac{e^x}{2^x} and n=x. Apply the formula: \lim_{x\to c}\left(a^b\right)={\left(\lim_{x\to c}\left(a\right)\right)}^{\lim_{x\to c}\left(b\right)}, where a=\frac{e}{2}, b=x and c=\infty . Apply the formula: \lim_{x\to c}\left(a\right)=a, where a=\frac{e}{2} and c=\infty . Evaluate the limit \lim_{x\to\infty }\left(x\right) by replacing all occurrences of x by \infty .
