AP EAMCET · Maths · Limits
\(\lim _{n \rightarrow \infty} \frac{n !}{(n+1) !-n !}=\)
- A 1
- B -1
- C 2
- D 0
Answer & Solution
Correct Answer
(D) 0
Step-by-step Solution
Detailed explanation
\(\begin{gathered} \operatorname{Lim}_{n \rightarrow \infty} \frac{n !}{(n+1) !-n !}=\operatorname{Lim}_{n \rightarrow \infty} \frac{1}{(n+1)-1} \\ =\operatorname{Lim}_{n \rightarrow \infty} \frac{1}{n}=0 \end{gathered}\)
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