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sum(n=1)^(oo) 1/(k!) (sum(n=1)^(k)2^(n-1...

`sum_(n=1)^(oo) 1/(k!) (sum_(n=1)^(k)2^(n-1))=`

A

e

B

`e^2 + e `

C

`e^2`

D

`e^2 -e `

Text Solution

Verified by Experts

The correct Answer is:
D
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AAKASH SERIES-EXPONENTIAL SERIES -EXERCISE - II (A) (CLASS WORK)
  1. Assertion (A) : The value of (2)/(1!) +6/(2!)+(12)/(3!) +(20)/(4!) + ....

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  2. Which of the following statement is true Statement - I Coefficient o...

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  3. sum(n=1)^(oo) n^2/((n+1))

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  4. sum(n=1)^(oo)(2 n^2+n+1)/((n!)) =

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  5. sum(n=1)^(oo) 1/(k!) (sum(n=1)^(k)2^(n-1))=

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  6. Match the following . {:("List - I ","List - II"),((1)(1.3)/(1)+(2....

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  7. If 1 +1/(2!) + (1.3) /(4!) + (13.5)/(6!) + ......oo = l 1+(2)/(2!) +...

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  8. 1+(2x)/(1!) +(3x^2)/(2!) +(4x^3)/(3!) +.......oo =

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  9. 1+(1+2)/(2!) +(1+2 +2^2)/(3!) + .......oo =

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  10. If n is odd, then Coefficient of x^n in (1+ (x^2)/(2!) +x^4/(4!) + ......

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  11. Cofficient of x^4 in 1+(1+x+x^2)/(1!) +((1+x+x^2)^2)/(2!) +((1+x+x^2...

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  12. If |x| lt 1, Coefficient of x^3 in 1/(e^x (1+x)) is

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  13. Coefficient of x^(10) in the expansion of (2+3x)e^(-x) is

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  14. If e^(ax) +e^(-bx) = p0 +p1x +p2x^2 + ....oo then (p0 , p1,p2) =

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  15. The coeffiecient of x^n in the expansion of (e^(7x) +e^x)/(e^(3x)) is

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  16. If (e^(x) -1)^(2) =a0 +a(1)x +a(2) x^2 + ......oo then a4 =

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  17. The coeffiecinet of x^k in the expansion of (1-2x -x^2)/(e^(-x)) is

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  18. The 4^(th) term in the expansion of (e^(x) -1-x)/x^2 in ascending powe...

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  19. Cofficient of x^6 in (e^(ix)+e^(-ix))/2 is

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  20. Match the following Lists . {:("List - I","List - II"),((1)(1.2)/(1!...

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