Home
Class 12
MATHS
If f(x)=(x-e^(x)+cos2x)/(x^(2)) where x!...

If `f(x)=(x-e^(x)+cos2x)/(x^(2))` where `x!=0`, is continuous at `x=0` then (where, {.} and [x] denotes the fractional part and greatest integer)

A

`f(0)=5/2`

B

`[f(0)]=-2`

C

`{f(0)}=-0.5`

D

`[f(0)].{f(x)}=-1.5`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

The solution set for [x]{x}=1, where {x} and [x] denote fractional part and greatest integer functions, is

If f(x)={x^(2{e^((1)/(x))}),x!=0k,x=0 is continuous at x=0, where {^(*)} represents fractional part function,then

Is the function f(x)={x}x>=0{-x}x<0 (where {^(*)} denotes the fractional part of (x) even ?

Period of the function f(x)=cos(cos pi x)+e^({4x}), where {.} denotes the fractional part of x, is

If F(x)=(sinpi[x])/({x}) then F(x) is (where {.} denotes fractional part function and [.] denotes greatest integer function and sgn(x) is a signum function)

f(x)=min(x^(3),x^(2)) and g(x)=[x]^(2)+sqrt({x}^(2)), where [x] denotes the greatest integer and {x} denotesthe fractional part function.Then which of the following holds?

lim_(xtoc)f(x) does not exist when where [.] and {.} denotes greatest integer and fractional part of x