Esercizio
$\lim_{n\to\infty}\left(\frac{n^{\frac{21}{5}}+n^{\frac{1}{5}}}{7n^8+\sqrt[5]{n}}\right)$
Soluzione passo-passo
Impara online a risolvere i problemi di passo dopo passo. (n)->(infinito)lim((n^(21/5)+n^(1/5))/(7n^8+n^(1/5))). Applicare la formula: \lim_{x\to c}\left(\frac{a}{b}\right)=\lim_{x\to c}\left(\frac{\frac{a}{sign\left(c\right)fgrow\left(b\right)}}{\frac{b}{sign\left(c\right)fgrow\left(b\right)}}\right), dove a=\sqrt[5]{n^{21}}+\sqrt[5]{n}, b=7n^8+\sqrt[5]{n}, c=\infty , a/b=\frac{\sqrt[5]{n^{21}}+\sqrt[5]{n}}{7n^8+\sqrt[5]{n}}, x=n e x->c=n\to\infty . Applicare la formula: \lim_{x\to c}\left(\frac{a}{b}\right)=\lim_{x\to c}\left(\frac{radicalfrac\left(a\right)}{radicalfrac\left(b\right)}\right), dove a=\frac{\sqrt[5]{n^{21}}+\sqrt[5]{n}}{n^8}, b=\frac{7n^8+\sqrt[5]{n}}{n^8}, c=\infty e x=n. Applicare la formula: \lim_{x\to c}\left(\frac{a}{b}\right)=\lim_{x\to c}\left(\frac{splitfrac\left(a\right)}{splitfrac\left(b\right)}\right), dove a=\frac{\sqrt[5]{n^{21}}+\sqrt[5]{n}}{n^8}, b=\frac{7n^8+\sqrt[5]{n}}{n^8}, c=\infty e x=n. Applicare la formula: \frac{a}{a}=1, dove a=n^8 e a/a=\frac{7n^8}{n^8}.
(n)->(infinito)lim((n^(21/5)+n^(1/5))/(7n^8+n^(1/5)))
Risposta finale al problema
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