Home
Class 12
MATHS
(2)/(3!)+(4)/(5!)+(6)/(7!)+....=...

`(2)/(3!)+(4)/(5!)+(6)/(7!)+....=`

A

e

B

`e//2`

C

`e^(-1)`

D

`e^(-1)//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

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

Prove that (C_0)/(1)+ (C_2)/(3) + (C_4)/(5) + (C_6)/(7) +…….= (2^n)/(n+ 1)

(3)/(2!)+(5)/(4!)+(7)/(6!)+(9)/(8!)+....=

If A=[((2)/(3), 1,(5)/(3)),((1)/(3), (2)/(3), (4)/(3)),((7)/(3), 2, (2)/(3))] and B=[((2)/(5), (3)/(5), 1),((1)/(5), (2)/(5), (4)/(5)),((7)/(5),(6)/(5),(2)/(5))] , then compute 3A-5B .

(5)/(1.2.3)+(7)/(3.4.5)+(9)/(5.6.7)+....=

Write the set {(1)/(2),(2)/(3),(3)/(4),(4)/(5),(5)/(6),(6)/(7)} in the set-builder form.

(3.5)/(1!)x+(4.6)/(2!)x^(2)+(5.7)/(3!)x^(3)+....=

(1)/(2.3)+(1)/(4.5)+(1)/(6.7)+……oo=

(1)/(2.3)+(1)/(4.5)+(1)/(6.7)+(1)/(8.9)+...

Prove that following (C_(1))/(2)+(C_(3))/(4)+(C_(5))/(6)+(C_(7))/(8)+……=(2^(n)-1)/(n+1)