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If x =3 + (4)/(2!) + (8)/(3!) + (16)/(4!...

If `x =3 + (4)/(2!) + (8)/(3!) + (16)/(4!) + .....oo ` then `1/x =`

A

`1/e`

B

e

C

`e^2`

D

`1/e^2`

Text Solution

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The correct Answer is:
D
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AAKASH SERIES-EXPONENTIAL SERIES -EXERCISE - II (A) (HOME WORK)
  1. 1+(omegax)/(1!) +(omega^2x^2)/(2!)+(omega^3x^3)/(3!)+(omega^4x^4)/(4!)...

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  2. If x =3 + (4)/(2!) + (8)/(3!) + (16)/(4!) + .....oo then 1/x =

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  3. If sum(r=1)^(oo) (C^r)/(r!) =1 then C =

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  4. p=sum(n=0)^(oo) (x^(3n))/((3n)!) , q=sum(n=1)^(oo) (x^(3n-2))/((3n-2)!...

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

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  6. If sum(n=3)^(oo) (""^nC3)/(n!) =a.e^(b) +c then descending order of a...

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  7. If f(x) = x + (x^3)/(3!) +(x^5)/(5!) +(x^7)/(7!) + .... then f'(x) =

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

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  9. (1+1/(2!) + 1/(4!)+ .....)^2 - (1+1/(3!) + 1/(5!)+ .....)^2 =

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  10. (1/(2!)+1/(4!)+1/(6!)+ ....oo)/(1+1/(3!)+1/(5!)+....oo)

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  11. Match the following Lists. {:("List - I ","List - II "),((A)The (n+1...

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  12. 1/(3!) +2/(5!) + (3)/(7!) + .....oo =

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  13. 2/(2!) +5/(3!) + (7)/(4!) + (9)/(5!)+.....oo =

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  14. 1+3/(1!) +5/(2!) + (7)/(3!) + ......oo=

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  15. If an = (1+2+3+......+n)/(n!) then a1 +a2+a3 + ....oo =

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  16. Which of the following statement is true Statement - I : 1 +(1+2) ...

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  17. Assertion (A) 1: (3)/(2!) +(5)/(4!) +(7)/(6!) + ..... = e Reason (R...

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  18. 1/(1!) +(1+3)/(2!) + (1+3+5)/(3!)+......oo =

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  19. sum(r=1)^(oo) (3r^(2) +r +5))/(r!) =

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  20. (1.4)/(0!) +(2.5)/(1!) + (3.6)/(2!)+...... =

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