The value of _ n [ 1 1 2 + 1 2 3 + 1 3 4 + + 1 n (n+1) ] is ...

Mathematics · JEE Main · NTA ExamsProgression and Series

The value of \(\lim _{n \rightarrow \infty}\left[\frac{1}{1 \cdot 2}+\frac{1}{2 \cdot 3}+\frac{1}{3 \cdot 4}+\ldots+\frac{1}{n \cdot(n+1)}\right] \text { is ... }\)
  1. 1
  2. 2
  3. 3
  4. Doesn't exist

Answer

(A) 1

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