The inequality _ 0 ^ 1 d x 1+x^ n >1- 1 n (n N) is true for
Mathematics · JEE Main · NTA Exams — Integral Calculus
The inequality \(\int_{0}^{1} \frac{d x}{1+x^{n}}>1-\frac{1}{n}(n \in N)\) is true for
- n = 1 only
- n ∈ N
- n ≥ 2 only
- none of these
Answer
(C) n ≥ 2 only
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