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

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

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

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

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

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

The value of f(0) such that f(x)=((1+tanx)/(1+sinx))^(cosecx) can be made continuous at x=0 is

consider f:R-{0}toR defined by f(x)=1-e^((1)/(x)-1) Q. f(x) is a/an

The function f(x)=((3^x-1)^2)/(sinx*ln(1+x)), x != 0, is continuous at x=0, Then the value of f(0) is

In order that the function f(x)=(x+1)^(cotx) is continuous at x = 0, f(0) must be defined as

If f(x)={e^(1/x) ,1 ifx!=0ifx=0 Find whether f is continuous at x=0.

Determine f(0) so that the function f(x) defined by f(x)=((4^x-1)^3)/(sinx/4log(1+(x^2)/3)) becomes continuous at x=0