Mathematics - Binomial Theorem Question with Solution | TestHub

MathematicsBinomial TheoremLogarithmic and Exponential seriesEasy2 minQB

MathematicsEasysingle choice

Coefficient of $x^{10}$ in the expansion of $(2 + 3 x) e^{- x}$ is

Answer:

Solution:

$(2 + 3 x) (1 - \frac{x}{1 !} + \frac{x ^{2}}{2 !} - \frac{x ^{3}}{3 !} \dots + \frac{x ^{10}}{10 !})$

$\frac{2}{10 !} - \frac{3}{9 !} = \frac{2 - 30}{10 !} = \frac{- 28}{10 !}$

Stream:JEESubject:MathematicsTopic:Binomial TheoremSubtopic:Logarithmic and Exponential series

⏱ 2mℹ️ Source: QB

Loading discussions...