Find the sum to infinity of the series 1^ 2 +2^ 2 x +3^ 2 x ^ 2 +4^ 2 x ^ 3 +
Mathematics · JEE Main · NTA Exams — Progression and Series
Find the sum to infinity of the series \(1^{2}+2^{2} \mathbf{x}+3^{2} \mathbf{x}^{2}+4^{2} \mathbf{x}^{3}+\ldots \infty\)
- \(\frac{1+\mathbf{x}}{(1-\mathbf{x})^{2}}\)
- \(\frac{1+\mathbf{x}}{1-\mathbf{x}}\)
- \(\frac{1+\mathbf{x}}{(1-\mathbf{x})^{3}}\)
- None of these
Answer
(C) 1+ x (1- x )^ 3
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