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Apply the formula: $\lim_{x\to c}\left(a^b\right)$$=\lim_{x\to c}\left(e^{b\ln\left(a\right)}\right)$, where $a=\frac{x+2}{x-1}$, $b=x$ and $c=\infty $
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$\lim_{x\to\infty }\left(e^{x\ln\left(\frac{x+2}{x-1}\right)}\right)$
Learn how to solve problems step by step online. (x)->(infinity)lim(((x+2)/(x-1))^x). Apply the formula: \lim_{x\to c}\left(a^b\right)=\lim_{x\to c}\left(e^{b\ln\left(a\right)}\right), where a=\frac{x+2}{x-1}, b=x and c=\infty . 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=e, b=x\ln\left(\frac{x+2}{x-1}\right) and c=\infty . Apply the formula: \lim_{x\to c}\left(a\right)=a, where a=e and c=\infty . Rewrite the product inside the limit as a fraction.
