Esercizio #1
\lim_{x\to+\infty}5x^2\left(e^{1/ex}-\log\left(e+\frac{1}{x}\right)\right)Esercizio #2
\lim_{n\to+\infty}\frac{\left(\sqrt{(n!)^2-13n}-n!\right)(n+1)!}{(n+1)^3\,\displaystyle\log\left(\frac{n+3}{n+2}\right)+(n+3)^{1/n}}Esercizio #3
\lim_{x\to0}\frac{3\log(x+3)-x-3\log(3)}{e^{x^2}(\cosh(x)-1)}Esercizio #4
\lim_{x\to0^+}\frac{2\left[\log\left(1+2x^2\right)-x\arctan(2x)\right]+4x^4}{\sinh(2x)-\sin(2x)}Esercizio #5
\lim_{n\to+\infty}\frac{n^{7/\sqrt{n}}-1+3^{-n}}{\left(\sqrt{n+7}-\sqrt{n}\right)\cdot\log\left((n+1)^3\right)}Esercizio #6
\lim_{x\to0^+}\frac{e^{-\frac{1}{x^2}}\cos(\log(x))+\cos(\arctan(x))-e^{-\frac{x^2}{2}}}{\log(1+x^2)-\sin(x^2)}
Esercizio #7
\lim_{x\to0^+}\frac{\sin\left(x^{\alpha}\right)-\alpha\tan(x)}{x}Esercizio #8
\lim_{x\to0^+}\dfrac{\arctan\left(\sin(x)\right)-\sinh(x)}{x^{\alpha}(1-\cos^2(x))}Esercizio #9
\lim_{x\to0}\frac{(1+\lambda x)^{1+\lambda x}-\sqrt{1+2\lambda x}}{\mu x^2+\log\left(1+x^3\right)}Esercizio #10
\lim_{x\to0^+}\frac{\arctan(x)-\sin(x)+x^{10/3}\log(x)}{x^{\alpha}\left(1-\cos^2(x)\right)}Questa pagina è stata utile?
SìNo
