Mathematics - Binomial Theorem Question with Solution | TestHub

MathematicsBinomial TheoremLogarithmic and Exponential seriesMedium2 minQB

MathematicsMediumsingle choice

The coefficient of $x^{4}$ in $(e^{x} - 1)^{2}$ is

Answer:

Solution:

$(e^{x} - 1)^{2} = e^{2 x} - 2 e^{x} + 1$ . The coefficient is $\frac{2 ^{4}}{4 !} - \frac{2}{4 !} = \frac{14}{24} = \frac{7}{12}$ .

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

⏱ 2mℹ️ Source: QB

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