Home
Class 12
MATHS
(1)/(2!)-(1)/(3!)+(1)/(4!)-(1)/(5!)+.......

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

A

e

B

`e//2`

C

`e^(-1)`

D

`e-2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • EXPONENTIAL SERIES & LOGARITHMIC SERIES (APPENDIX-1)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B|70 Videos

  • EXPONENTIAL SERIES & LOGARITHMIC SERIES (APPENDIX-1)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 1|6 Videos

  • EXPONENTIAL SERIES & LOGARITHMIC SERIES (APPENDIX-1)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|5 Videos

  • ELLIPSE

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 2|1 Videos

  • FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS)|7 Videos

Similar Questions

Explore conceptually related problems

(1)/(1.2)-(1)/(2.3)+(1)/(3.4)-(1)/(4.5)+....=

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

I:(1)/(1.2)+(1)/(3.4)+(1)/(5.6)+....log_(e)2 II:(1)/(1.2)-(1)/(2.3)+(1)/(3.4)-(1)/(4.5)+....=2log_(e)2-1

(1)/(1.2)+(1)/(3.4)+(1)/(5.6)+....

Observe the following lists {:("List-I","List-II"),((A) 1-(1)/(2)+(1)/(3)-(1)/(4)+(1)/(5)+...oo,(1)(2)/(3)+ (1)/(2)log2),((B)(1)/(5)+(1)/(2.5^(2))+(1)/(3.5^(3))+...oo,(2)log_(e )2),((C )(1)/(n+1)+(1)/(2(n+1)^(2))+(1)/(3(n+1)^(3))...oo,(3)-log_(e )((4)/(5))),((D)1+(1)/(3.3^(3))+(1)/(5.3^(5))+...oo,(4)log_(e )((5)/(4))),(,(5)-log_(e )(1-(1)/(n+1))):} The correct match for List - I from List -II is

(1+(1)/(2!)+(1)/(4!)+(1)/(6!)+....)^(2)-(1+(1)/(3!)+(1)/(5!)+(1)/(7!)+....)^(2)=

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

I : (2)/(1!)+(4)/(3!)+(6)/(5!)+....=e-1 II : (3)/(2!)+(5)/(4!)+(7)/(6!)+(9)/(8!)+....=e-1