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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 $a=\frac{1}{x^2}$, $b=x$ and $c=0$
Learn how to solve limiti di funzioni esponenziali problems step by step online.
$\lim_{x\to0}\left(e^{x\ln\left(\frac{1}{x^2}\right)}\right)$
Learn how to solve limiti di funzioni esponenziali problems step by step online. (x)->(0)lim((1/(x^2))^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{1}{x^2}, b=x and c=0. Apply the formula: \ln\left(\frac{1}{x}\right)=-\ln\left(x\right), where x=x^2 and 1/x=\frac{1}{x^2}. Apply the formula: \ln\left(x^a\right)=a\ln\left(x\right), where a=2. 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=-2x\ln\left(x\right) and c=0.
