Limn -n-n-1-n- is equal to

The correct option is B 0 lim_n→∞n!(n+1)!+n! lim_n→∞n!n!(n+1+1) lim_n→∞1n+2 = 1∞=(0) #160;(B) is correct ...

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Addition of Fractions

limn →∞n!n+1!...

Question

${lim}_{n \to \infty} \frac{n!}{(n + 1)! + n!}$ is equal to

\frac{1}{2}

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Similar questions

lim n \to \infty \frac{\sqrt{1} + \sqrt{2} + . . . + \sqrt{n - 1}}{n \sqrt{n}}

\lim_{n \to \infty} \{\frac{1}{1 - n^{2}} + \frac{2}{1 - n^{2}} + . . . + \frac{n}{1 - n^{2}}\}

l i m n \to \infty \frac{(n + 2)! + (n + 1)!}{(n + 2)! - (n + 1)!}

S_{n} = [\frac{1}{1 + \sqrt{n}} + \frac{1}{2 + \sqrt{n}} + . . . + \frac{1}{n + \sqrt{n^{2}}}]

lim n \to \infty S_{n}

\lim_{n \to \infty} \frac{n!}{(n + 1)! + n!}

\frac{1}{2}

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