`f(x)={x}^2-{x^2}` ( where {.} denotes the fractional part function) a) f(x) is discontinuous at infinte number of integers but ot at all inetgers b) f(x) is discontinuous at finite number of integers (c) f(x) is discontinuous at all integers (d) f(x) is continuous at all integers

f(x)={8^((1)/(x)),x =0 (where [.] denotes the greatest integer function).Then (a) f(x) is continuous only at a a finite number of points (b) Discontinuous at a finite number of points.(b) Discontinuous at an infinite number of points.(d)Discontinuous at an x=0

Let f(x)={8^(1/x),x<0a[x],a in R-{0},xgeq0, (where [.] denotes the greatest integer function). Then (a) f(x) is Continuous only at a finite number of points (b)Discontinuous at a finite number of points. (c)Discontinuous at an infinite number of points. (d)Discontinuous at x=0

Let f(x)={8^(1/x),x<0a[x],a in R-{0},xgeq0, (where [.] denotes the greatest integer function). Then (a) f(x) is Continuous only at a finite number of points (b)Discontinuous at a finite number of points. (c)Discontinuous at an infinite number of points. (d)Discontinuous at x=0

Show that the function f(x) = [x]^(2) - [x^(2)] is discontinuous at all integers except 1

The function f(x)=[x]^2-[x^2] is discontinuous at (where [gamma] is the greatest integer less than or equal to gamma ), is discontinuous at

The function f(x)=[x]^2-[x^2] is discontinuous at (where [gamma] is the greatest integer less than or equal to gamma ), is discontinuous at

The function f(x)=[x]^2-[x^2] is discontinuous at (where [gamma] is the greatest integer less than or equal to gamma ), is discontinuous at a. all integers b. all integers except 0 and 1 c. all integers except 0 d. all integers except 1

Which of the following statements is always true? ([.] represents the greatest integer function. a) If f(x) is discontinuous then |f(x)| is discontinuous b) If f(x) is discontinuous then f(|x|) is discontinuous c) f(x)=[g(x)] is discontinous when g(x) is an integer d) none of these

Which of the following statements is always true? ([.] represents the greatest integer function. a) If f(x) is discontinuous then |f(x)| is discontinuous b) If f(x) is discontinuous then f(|x|) is discontinuous c) f(x)=[g(x)] is discontinous when g(x) is an integer d) none of these

Which of the following statements is always true? ([.] represents the greatest integer function. a) If f(x) is discontinuous then |f(x)| is discontinuous b) If f(x) is discontinuous then f(|x|) is discontinuous c) f(x)=[g(x)] is discontinous when g(x) is an integer d) none of these