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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 $a=e^x+x$, $b=\frac{1}{x}$ and $c=0$
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$\lim_{x\to0}\left(e^{\frac{1}{x}\ln\left(e^x+x\right)}\right)$
Learn how to solve problems step by step online. (x)->(0)lim((e^x+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=e^x+x, b=\frac{1}{x} and c=0. Apply the formula: a\frac{b}{c}=\frac{ba}{c}, where a=\ln\left(e^x+x\right), b=1 and c=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=e, b=\frac{\ln\left(e^x+x\right)}{x} and c=0. Apply the formula: \lim_{x\to c}\left(a\right)=a, where a=e and c=0.
