Home
Class 11
MATHS
f(x)={(x)/(1+x)+(x)/((1+x)(1+2x))+(x)/((...

`f(x)={(x)/(1+x)+(x)/((1+x)(1+2x))+(x)/((1+2x)(1+3x))+....n` terms} and `x gt 0` then `Lt_(x to oo)f(x)=`

A

`(1)/(1-x)`

B

`(1)/(1+x)`

C

1

D

0

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|143 Videos

  • LIMITS

    AAKASH SERIES|Exercise EXERCISE-I|48 Videos

  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIOS)|5 Videos

  • LOCUS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos

Similar Questions

Explore conceptually related problems

f(x)={{:(x^(2),if x le 1),(x, if 1 lt x le 2),(x-3,if x gt 2):} then Lt_(x to 2+) f(x)=

If f (x) = Tan ^(-1)((3x-x ^(3))/(1-3x ^(2)),g (x) =Cos^(-1) ((1-x ^(2))/(1 + x ^(2))and 0 lt alpha lt 1/2, then lim _(x to alpha ) (f (x) -f (a))/(g (x)-g (a))

f(x) is a contiuous function satisfying f(x)*f((1)/(x))=f(x)+f((1)/(x)) and f(1) gt 0 , then underset(x to 1) (Lt)f(x) is equal to

Let F(x) = f(x) +g(x) , G(x) = f(x) - g( x) and H(x) =(f( x))/( g(x)) where f(x) = 1- 2 sin ^(2) x and g(x) =cos (2x) AA f: R to [-1,1] and g, R to [-1,1] Now answer the following If the solution of F(x) -G (x) =0 are x_1,x_2, x_3 --------- x_n Where x in [0,5 pi] then

If f(x)=|(cosx, x,1),(2sinx,x^(2),2x),(tanx,x,1)| then Lt_(xto0)(f'(x))/x=