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1 +1(4.2!) + 1/(16.4!) +1/(64.6!) + .......

`1 +1(4.2!) + 1/(16.4!) +1/(64.6!) + ....... = `

A

`(e-1)/(sqrte)`

B

`(e+1)/sqrte`

C

`(e-1)/(2sqrte)`

D

`(e+1)/(2sqrt(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. sum(n=0)^(oo)((loge x)^(2n))/((2n)!)=

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  2. (1+x^2/(2!) +x^4 /(4!) + .....oo)^(2) - (x+x^3/(3!) +x^(5)/(5!) + .......

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  3. 1 +1(4.2!) + 1/(16.4!) +1/(64.6!) + ....... =

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  4. 4/(1!) +16/(3!)+(64)/(5!) + ......=

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  5. (1+(2^2)/(2!)+(2^4)/(3!)+(2^6)/(4!)+.....oo)/(1+(1)/(2!)+(2)/(3!)+(2^2...

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  6. 1 + (1+2)/(2!) + (1+2+3)/(3!) + (1+2+3+4)/(4!) + ......oo

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  7. 1+ 1/(2!)+2/(3!)+4/(2!)+ .... oo =

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  8. (1.3)/(1!) +(2.4)/(2!)+(3.5)/(3!) + (4.6)/(4!) + .......oo = .......

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  9. (1^(2).2^2)/(1!) +(2^(2).3^2)/(2!) + (3^(2).4^2)/(3!) + .....oo =

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

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

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

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

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

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

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

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  17. 1+(2x)/(1!) +(3x^2)/(2!) +(4x^3)/(3!) +.......oo =

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  18. 1+(1+2)/(2!) +(1+2 +2^2)/(3!) + .......oo =

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

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  20. 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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