The sum of the series 1 + 4.2 ! 1 + 16.4 ! 1 + 64.6 ! 1 + ……

1 + 4.2 ! 1 + 16.4 ! 1 + …… = 2 e 1/2 + e − 1/2 = 2 e e + 1

Mathematics - Binomial Theorem Question with Solution | TestHub

MathematicsBinomial TheoremLogarithmic and Exponential seriesEasy2 minQB

MathematicsEasysingle choice

The sum of the series $1 + \frac{1}{4.2 !} + \frac{1}{16.4 !} + \frac{1}{64.6 !} + \dots\dots$

Answer:

Solution:

$1 + \frac{1}{4.2 !} + \frac{1}{16.4 !} + \dots\dots$

$= \frac{e ^{1/2} + e ^{- 1/2}}{2} = \frac{e + 1}{2 e}$

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

⏱ 2mℹ️ Source: QB

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