[" d) none of the above is true "],[" 45."f(x)=|x|+|x-1|" is "],[" a) discontinuous at trua no is "]

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

Let f(x)=|x|+|x-1|, then (a) f(x) is continuous at x=0, as well at x=1( b) f(x) is continuous at x=0, but not x=1(c)f(x) is continuous at x=1, but not at x=0 (d)none of these

1.If lim_(x rarr0)(f(x))/(x) exists and f(0)=0 then f(x) is (a) continuous at x=0 (b) discontinuous at x=0 (e) continuous no where (d) None of these

Let f(x)=|x|+|x-1|, then (a) f(x) is continuous at x=0, as well at x=1 (b) f(x) is continuous at x=0, but not at x=1 (c) f(x) is continuous at x=1, but not at x=0 (d)none of these

f(x)= [x] + sqrt(x -[x]) , where [.] is a greatest integer function then …….. (a) f(x) is continuous in R+ (b) f(x) is continuous in R (C) f(x) is continuous in R - 1 (d) None of these

If f(x) = x^(3) sgn (x), then A. f is differentiable at x = 0 B. f is continuous but not differentiable at x = 0 C. f'(0^(-)) = 1 D. None of these

If f(x) = x^(3) sgn (x), then A. f is differentiable at x = 0 B. f is continuous but not differentiable at x = 0 C. f'(0^(-)) = 1 D. None of these

Let f(x)=sinx+a x+bdot Then which of the following is/are true? (a) f(x)=0 has only one real root which is positive if a >1, b 1, b 1, b > 0. (d) none of these