Home
Class 12
MATHS
A : The value of e lies between 2 and 3....

A : The value of e lies between 2 and 3.
R : `e=1+(1)/(1!)+(1)/(2!)+(1)/(3!)+....`

A

Both A and R are true and R is the correct explanation of A

B

Both A and R are true but R is not correct explanation of A

C

A is true but R is false

D

A is false but R is true

Text Solution

Verified by Experts

The correct Answer is:
A
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • EXPONENTIAL SERIES & LOGARITHMIC SERIES (APPENDIX-1)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 3|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

Show that : tan h ^(-1) (( 1)/(2)) = (1)/(2) log _(e) 3.

P = 1 - (3)/(1!) + 9/(2!) - (27)/(3!) + ....... Q = 1+ (4)/(1!) +(16)/(2!) +(64)/(3!) + ........ R=log_(e)^3+((log_e^3)^2)/(2!)+((log_e^3)^3)/(3!)+..... The ascending order of P,Q,R

Knowledge Check

  • Which of the following statement is true Statement - I : 1 +(1+2) /(2!) + (1+2+3)/(3!) + ......oo = (3e)/2 Statement - II : 1 +(3) /(1!) + (5)/(2!) + 7/(3!)+9/(4!) + ......oo = 3e Statement - III : 1 +(3) /(2!) + (7)/(3!) + 15/(4!) + ......oo = e(e-1)

    A
    I, II true
    B
    II, III true
    C
    III , I true
    D
    All are true

  • Assertion (A) : The value of (2)/(1!) +6/(2!)+(12)/(3!) +(20)/(4!) + .......o = 3e Reason (R) : The n^(th) term of the series 2,6,12,20 , ....... Is n (n+1)

    A
    A is true, R is true and R is correct explanation of A
    B
    A is true, R is true and R is not correct explanation of A
    C
    A is true , R is false
    D
    A is false, R is true

  • Assertion (A) 1: (3)/(2!) +(5)/(4!) +(7)/(6!) + ..... = e Reason (R) : The coefficent of x^2 in 1+ (2+3x)/(1!) + ((2+3x)^2)/(2!) + .....oo is (9e^2)/(2)

    A
    A is true, R is true and R is correct explanation of A
    B
    A is true, R is true and R is not correct explanation of A
    C
    A is true , R is false
    D
    A is false, R is true

    • Similar Questions

    Explore conceptually related problems

    Show that : tan h ^(-1) ((1)/(2)) = (1)/(2) log _(e) 3.

    1+(log_(e)5)/(1!) +(log_e5)^2/(2!)+(log_e5)^3/(3!)+ .......oo =

    Match the following Lists . {:("List - I","List - II"),((1)(1.2)/(1!)+(2.3)/(2!)+(3.4)/(3!)+...oo,(a) 3e),((2)2/(3!)+4/(5!)+6/(7!)+...oo,(b)(e(e^2-1))/2),((3) 4(1+1/(2!)+(2)/(3!)+(2^2)/(4!)+......oo),(c) e^2+1),((4)1+(1+3)/(2!)+(1+3+3^2)/(3!)+....,(d)5e):}

    int (1)/(e^(x)+2e^(-x)-3)dx=

    If x,y,z are three consecutive positive integers then (1)/(2)log_(e)x+(1)/(2)log_(e)z+(1)/(2xz+1)+(1)/(3)((1)/(2xz+1))^(3)+....=

    Home
    Profile