Home
Class 12
MATHS
Discuss the continuity of f(x) in [0, 2]...

Discuss the continuity of f(x) in [0, 2], where `f(x) = {{:([cos pi x]",",x le 1),(|2x - 3|[x - 2]",",x gt 1):}` where [.] denotes the greatest integral function.

Text Solution

Verified by Experts

The correct Answer is:
`x in [0, 2] - {0, 1//2, 2}`
Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x) = {{:([cos pi x]",",x le 1),(2{x}-1",",x gt 1):} , where [.] and {.} denotes greatest integer and fractional part of x, then

The function f(x) = [x] cos((2x-1)/2) pi where [ ] denotes the greatest integer function, is

domin of f(x)=sin^-1[log_2(x^2/2)] where [ . ] denotes the greatest integer function.

If f(x)={{:(,x[x], 0 le x lt 2),(,(x-1)[x], 2 le x lt 3):} where [.] denotes the greatest integer function, then (x) is continuous at x=2

If f(x)=(sin([x]pi))/(x^2+x+1) , where [dot] denotes the greatest integer function, then

f(x)=log(x-[x]) , where [*] denotes the greatest integer function. find the domain of f(x).

Discuss the continuity of f(x), where f(x) = lim_(n rarr oo) ("sin"(pi x)/(2))^(2n)

If f(x)=e^(sin(x-[x])cospix) , where [x] denotes the greatest integer function, then f(x) is

The period of the function f(x)=Sin(x +3-[x+3]) where [] denotes the greatest integer function

Discuss the continuity of the function f defined by f(x)= {(x+2",","if" x le 1),(x-2",","if" x gt 1):}