Find the coefficient of x ^ in the series 1+(a+b x)+ (a+b x)^ 2 2! + (a+b x)^ 3 3! +
Mathematics · JEE Main · NTA Exams — Binomial Theorem And Its Simple Applications
Find the coefficient of \(\mathbf{x}^{\Pi}\) in the series \(1+(a+b x)+\frac{(a+b x)^{2}}{2!}+\frac{(a+b x)^{3}}{3!}+\ldots \infty\)
- \(\frac{e^{\mathrm{a}} \cdot \mathrm{~b}^{n}}{\mathrm{n}!}\)
- \(\frac{e^{n} b^{n}}{n!}\)
- \(\frac{\mathbf{e} \mathbf{b}^{n}}{n!}\)
- none of these
Answer
(A) e^ a ~b ^ n n !
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