Continuity and DifferentiabilityHard

Question

If f(x) = , then correct statement is -

Options

A.f(x) is discontinuous at x = 0 for any value of a
B.f(x) is continuous at x = 0 when a = 8
C.f(x) is continuous at x = 0 when a = 0
D.none of these

Solution

= 8
= 8      ∴ f(0) = 8
so f(x) is continuous at x = 0 when a = 8

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

Identify the correct statement -...If f(x) = x3 sin x, then -...If f(x) = where {x} denotes the fractional part function, then -...If f(x) = be real values function then...If y = fofof (x) and f (0) = 0, f′(0) = 2, then find y′(0) -...