Home
Class 12
MATHS
If f: RvecR is defined by f(x)=[x-3]+|x-...

If `f: RvecR` is defined by `f(x)=[x-3]+|x-4|` for `x in R ,` then `(lim)_(xvec3)f(x)` is equal to (where [.] represents the greatest integer function) a. b. c. d. -1

A

`-2`

B

`-1`

C

0

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If f:R rarr R is defined by f(x)=[x-3]+|x-4| for x in R, then lim_(x rarr3)f(x) is equal to (where [.] represents the greatest integer function)

(lim)_(xvec(-1^-)/3)1/x[(-1)/x]= (where [.] denotes the greatest integer function) a. -9 b. -12 c. -6 d. 0

If f(x)=[|x|, then int_(0)^(100)f(x)dx is equal to (where I.] denotes the greatest integer function)

If f(x)=|x-1|.([x]=[-x]), then (where [.] represents greatest integer function)

Find the range of f(x)=(x-[x])/(1-[x]+x'), where [] represents the greatest integer function.

If f(x)=x((e^(|x|+[x])-2)/(|x|+[x])) then (where [.] represent the greatest integer function)

f:(2,3)rarr(0,1) defined by f(x)=x-[x], where [.] represents the greatest integer function.

Find the domain of f(x)=sqrt(([x]-1))+sqrt((4-[x])) (where [] represents the greatest integer function).

If f(x)={x+(1)/(2),x =0 then [(lim)_(x rarr0)f(x)]= (where [.] denotes the greatest integer function)