Home › CBSE Class 12 (Commerce) › Mathematics › Continuity and Differentiability › If f and g are continuous at c, which combinatio…
If f and g are continuous at c, which combinations are continuous at c?
Aonly f + g and f.g
Bf + g and f - g, not f.g
Cf + g, f - g and f.g
Df.g but not f - g
Answer & Solution
Correct answer: C. f + g, f - g and f.g
Sums, differences and products of functions continuous at c stay continuous at c by the limit laws.
Related questions
The identity x = e^(log x) holds only forThe function f(x) = 1/(x - 2) is discontinuous atThe greatest integer function [x] is discontinuous at which of these points?For x > 0, logarithmic differentiation shows that the derivative of x^x isIf x^2 + y^2 = 1, implicit differentiation gives dy/dx equal toLet f(x) = kx^2 for x <= 2 and f(x) = 3 for x > 2. For continuity at x = 2, the value of kA function equals (x^2 - 9)/(x - 3) for x not equal to 3 and has value k at x = 3. It is cTaking natural logs of y = [u(x)]^v(x) gives log y equal to