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(1.3)/(1!) +(2.4)/(2!)+(3.5)/(3!) + (4.6...

`(1.3)/(1!) +(2.4)/(2!)+(3.5)/(3!) + (4.6)/(4!) + .......oo = .......`

A

e

B

2e

C

3e

D

4e

Text Solution

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The correct Answer is:
D
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2 + (5)/(2!3) + (5.7)/(3!3^2) + (5.7.9)/(4!3^2) + …..oo =

AAKASH SERIES-EXPONENTIAL SERIES -EXERCISE - II (A) (CLASS WORK)
  1. 1 + (1+2)/(2!) + (1+2+3)/(3!) + (1+2+3+4)/(4!) + ......oo

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

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  3. (1.3)/(1!) +(2.4)/(2!)+(3.5)/(3!) + (4.6)/(4!) + .......oo = .......

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

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  5. Assertion (A) : The value of (2)/(1!) +6/(2!)+(12)/(3!) +(20)/(4!) + ....

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

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

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

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

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

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

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  12. 1+(2x)/(1!) +(3x^2)/(2!) +(4x^3)/(3!) +.......oo =

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  13. 1+(1+2)/(2!) +(1+2 +2^2)/(3!) + .......oo =

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

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

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

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

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

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

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