Home
Class 12
MATHS
The function f:""R""~""{0}vecR given ...

The function `f:""R""~""{0}vecR` given by `f(x)=1/x-2/(e^(2x)-1)` can be made continuous at x = 0 by defining f(0) as (1) 2 (2) `-1` (3) 0 (4) 1

A

2

B

`-1`

C

0

D

1

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY

    MOTION|Exercise EXERCISE - 4 (LEVEL -II) (PREVIOUS YEAR JEE ADVANCED)|5 Videos
  • CONTINUITY

    MOTION|Exercise EXERCISE - 3 (PASSAGE BASED QUESTION (21-24))|4 Videos
  • COMPLEX NUMBER

    MOTION|Exercise EXERCISE - 4 (LEVEL -II) PREVIOUS YEAR - JEE ADVANCED|33 Videos
  • DEFINITE INTEGRATION

    MOTION|Exercise EXERCISE -4 LEVEL-II|33 Videos

Similar Questions

Explore conceptually related problems

The function f:R-{0}rarr R given by f(x)=(1)/(x)-(2)/(e^(2)x-1) can be made continuous at x=0 by defining f(0) as

If the function f:R backslash{0}rarr given by f(x)=(1)/(x)-(2)/(e^(2x)-1) is continuous at x=0 then find the value of f(0)

If f(x) (2^(x)-1)/(1-3^(x)) , x != 0 is continuous at x = 0 then : f(0) =

If the function f(x) = (x(e^(sinx) -1))/( 1 - cos x ) is continuous at x =0 then f(0)=

If the function f defined as f(x)=(1)/(x)-(k-1)/(e^(2x)-1),x!=0, is continuous at x=0, then the ordered pair (k,f(0)) is equal to:

The value of f (0), such that f( x) =( 1)/(x^(2)) ( 1 -cos( sin x )) can be made continuous at x=0 , is