If a_ n n+1 + a_ 1 n + a_ 2 n-1 + + a_ n-1 2 +a_ n =0 where a_ n , a_ 1 , a_ 2 , a_ n-1 …
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
If \(\frac{a_{n}}{n+1}+\frac{a_{1}}{n}+\frac{a_{2}}{n-1}+\ldots+\frac{a_{n-1}}{2}+a_{n}=0\) where \(a_{n}, a_{1}, a_{2} \ldots, a_{n-1}, a_{n} \in R\), then the equation \(a_{n} x^{n}+a_{1} x^{n-1}+a_{2} x^{n-2}+\ldots+a_{n}=0\) has at least one real root in
- \((0,1)\)
- \((0,-1)\)
- \((-1,1)\)
- None of these
Answer
(A) (0,1)
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