Impara online a risolvere i problemi di passo dopo passo. (x)->(0)lim(((x+1)^(1/x)-e)x^(-1)). Moltiplicare il termine singolo x^{-1} per ciascun termine del polinomio \left(\left(x+1\right)^{\frac{1}{x}}-e\right). Applicare la formula: \lim_{x\to c}\left(a\right)=\lim_{x\to c}\left(a\frac{conjugate\left(numerator\left(a\right)\right)}{conjugate\left(numerator\left(a\right)\right)}\right), dove a=\left(x+1\right)^{\frac{1}{x}}x^{-1}-ex^{-1} e c=0. Applicare la formula: \lim_{x\to c}\left(a\right)=\lim_{x\to c}\left(a\right), dove a=\left(\left(x+1\right)^{\frac{1}{x}}x^{-1}-ex^{-1}\right)\frac{\left(x+1\right)^{\frac{1}{x}}x^{-1}+ex^{-1}}{\left(x+1\right)^{\frac{1}{x}}x^{-1}+ex^{-1}} e c=0. Applicare la formula: \left(ab\right)^n=a^nb^n.

(x)->(0)lim(((x+1)^(1/x)-e)x^(-1))