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Question
CBSEENMA11015653
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The sum of the series space 1 plus space fraction numerator 1 over denominator 4.2 factorial end fraction space plus fraction numerator 1 over denominator 16.4 space factorial end fraction space plus fraction numerator 1 over denominator 64.6 space factorial end fraction plus........ space ad space inf. space is

  • fraction numerator straight e minus 1 over denominator square root of 2 end fraction
  • fraction numerator straight e plus 1 over denominator square root of 2 end fraction
  • fraction numerator straight e minus 1 over denominator 2 square root of 2 end fraction
  • fraction numerator straight e plus 1 over denominator 2 square root of 2 end fraction

Solution

D.

fraction numerator straight e plus 1 over denominator 2 square root of 2 end fraction fraction numerator straight e to the power of straight x space plus straight e to the power of negative straight x end exponent over denominator 2 end fraction space equals space 1 space plus fraction numerator straight x squared over denominator 2 factorial end fraction space plus fraction numerator straight x to the power of 4 over denominator 2 factorial end fraction space plus fraction numerator straight x to the power of 4 over denominator 4 factorial end fraction space plus fraction numerator straight x to the power of 6 over denominator 6 factorial end fraction plus..... putting space straight x space equals space 1 divided by 2 space we space get fraction numerator straight e plus 1 over denominator 2 square root of straight e end fraction

Some More Questions From Sequences and Series Chapter

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Let P (-2, 3, -4) is a point in space. Find the foot of perpendicular from this point to the z-axis.

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