Question:
Let the series π and π be defined by
\(β^β_{n-0}\frac{ 2 β
5 β
8 β― (3π + 2) }{1 β
5 β
9 β― (4π + 1)}\) and \(β^β _{n=1}(1 + \frac{1 }{π} ) ^{βπ^2}\)
respectively. Then, which one of the following statements is TRUE?
Let the series π and π be defined by
\(β^β_{n-0}\frac{ 2 β 5 β 8 β― (3π + 2) }{1 β 5 β 9 β― (4π + 1)}\) and \(β^β _{n=1}(1 + \frac{1 }{π} ) ^{βπ^2}\)
respectively. Then, which one of the following statements is TRUE?
\(β^β_{n-0}\frac{ 2 β 5 β 8 β― (3π + 2) }{1 β 5 β 9 β― (4π + 1)}\) and \(β^β _{n=1}(1 + \frac{1 }{π} ) ^{βπ^2}\)
respectively. Then, which one of the following statements is TRUE?
Updated On: Oct 1, 2024
- π is convergent and π is divergen
- π is divergent and π is convergent
- Both π and π are convergent
- Both π and π are divergent
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The Correct Option is C
Solution and Explanation
The correct option is (C): Both π and π are convergent
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