Continuity and DifferentiabilityHard
Question
f(x) is continuous at x = 0, then which of the following are always true ?
Options
A.
f(x) = 0
B.f(x) is non continuous at x = 1
C.g(x) = x2 f(x) is continuous at x = 0
D.
(f(x) - f(0)) = 0
More Continuity and Differentiability Questions
Let f : R → R be a function defined by f(x) = max {x, x3} The set of all points ehere f(x) is not differentiable, ...Which of the following function(s) not defined at x = 0 has/have removable discontinuity at the origin ?...If f (x) = then at x = 0, f(x) is -...Let f(x) = x3 and g(x) = | x |. Then at x = 0, the composite functions -...A function y = f(x) has second order derivative f″(x) = 6(x - 1). If its graph passes through the point (2, 1) and...