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

Solution

-

Create a free account to view solution

View Solution Free
Topic: Continuity and Differentiability·Practice all Continuity and Differentiability questions

More Continuity and Differentiability Questions

If y = sin (m sin-1x), then (1 - x2) y″ -xy′ is equal to -...Which of the following functions has finite number of points of discontinuity in R (where [.] denotes greatest integer)...If f(x) = | (x - 4)(x - 5) | , then f′(x) is equal to -...If f (x) = , then correct statement is -...The function f(x) = [x] cos [.] denotes the greatest integer function, is discontinu ous at...