If (1+1/(1!)+(1)/(2!)+......oo) (1-(1)...

If `(1+1/(1!)+(1)/(2!)+......oo) (1-(1)/(1!) +1/(2!) -1/(3!) + ......oo)=`

A

1

B

`e^(-2)`

C

`-e^(-2)`

D

0

Text Solution

Verified by Experts

The correct Answer is:

A

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AAKASH SERIES-EXPONENTIAL SERIES -EXERCISE - III

If (1+1/(1!)+(1)/(2!)+......oo) (1-(1)/(1!) +1/(2!) -1/(3!) + .........
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(1+x^2/(2!)+x^4/(4!)+....oo)^2 =
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If (e^x)/(1-x)=B0 +B1 x +B2 x^2 + ....... + B(n-1) x^(n-1) +B(n)x^n+ ....
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If C =1 + (cos x ) /(1!) +(cos 2X)/(2!) + (cos3x)/(3!) + ......and
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Coefficient of x^n in e^(e^x) is 1/(n!) k then k =
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Assertion (A) : (3^2)/(2!) +(3^4)/(4!)+(3^6)/(4!)+ .... = Cosh 3 -1 ...
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