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Which of the following statement is true...

Which of the following statement is true
Statement - I `2lt 1/(1!)+1/(2!)+1/(3!)+1/(4!)+ .....oo lt 3 `
Statement - II `1/2lt 1/(1!)+1/(2!)+1/(3!)+1/(4!)+ .....oo lt 1 `

A

only I

B

only II

C

both I and II

D

neither I nor II

Text Solution

Verified by Experts

The correct Answer is:
D
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AAKASH SERIES-EXPONENTIAL SERIES -EXERCISE - II (A) (CLASS WORK)
  1. 1+(w^2x)/(1!)+(wx^2)/(1!)+(x^3)/(3!) + (w^2x^4)/(4!) +(wx^5)/(5!) +(wx...

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  2. 4+(9)/(2!)+27/(3!)+....=

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  3. Which of the following statement is true Statement - I 2lt 1/(1!)+1/...

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  4. Which one of the following is correct

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  5. 1/2+1/4 +1/(8(2)!)+1/(16(3)!)+1/(32(4)!)+ .....oo =

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  6. Assertion (A) : x + x^(2)/(1!) + x^(3) /(2!) + (x^4)/(3!) + .....+ oo ...

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  7. (a+b).(a-b)+((a+b)(a-b)(a^2+b^2))/(2!)+((a+b)(a-b)(a^4+b^4+a^2b^2))/(3...

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  8. If a=sum(n=1)^(oo)((2n))/(2n-1),b sum(n=1)^(oo) (2n)/(2n+1!) then ab =

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  9. P = 1 - (3)/(1!) + 9/(2!) - (27)/(3!) + ....... Q = 1+ (4)/(1!) +(16...

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  10. If y = sum(n=2)^(oo) (""^nc2 .(3^(n-2))/(n!)) then 2y =

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  11. x +(x^2)/(3!)+(x^3)/(5!) + ......oo =

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  12. sum(n=0)^(oo)((loge x)^(2n))/((2n)!)=

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  13. (1+x^2/(2!) +x^4 /(4!) + .....oo)^(2) - (x+x^3/(3!) +x^(5)/(5!) + .......

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  14. 1 +1(4.2!) + 1/(16.4!) +1/(64.6!) + ....... =

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  15. 4/(1!) +16/(3!)+(64)/(5!) + ......=

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  16. (1+(2^2)/(2!)+(2^4)/(3!)+(2^6)/(4!)+.....oo)/(1+(1)/(2!)+(2)/(3!)+(2^2...

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

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  18. 1+ 1/(2!)+2/(3!)+4/(2!)+ .... oo =

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  19. (1.3)/(1!) +(2.4)/(2!)+(3.5)/(3!) + (4.6)/(4!) + .......oo = .......

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  20. (1^(2).2^2)/(1!) +(2^(2).3^2)/(2!) + (3^(2).4^2)/(3!) + .....oo =

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