Find the sum of following series to infinity 1+ 1+ a 2! + 1+ a + a ^ 2 3! + 1+ a + a ^ 2…

Mathematics · JEE Main · NTA Exams — Progression and Series

1. \(\frac{\mathbf{e}^{\mathbf{a}}-\mathbf{e}}{\mathbf{a}-1}\)
2. \(\frac{e^{\mathrm{a}}}{\mathrm{a}-1}\)
3. \(\frac{\mathbf{e}-\mathbf{e}^{\mathbf{a}}}{\mathbf{a}-1}\)
4. None of these

Answer

(A) e ^ a - e a -1

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