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What are the types of discontinuity?
Correct Answer Is : Both 1 and 2 A real value function f is said to have removable discontinuity at x =a in its domain, if lim x → a f(x) exists but ___________. Correct Answer Is : Lim x → a f(x)≠f (a) A real value function f is said to have irremovable discontinuity at x =a, if lim x → a f(x) does not exists but _______________ or one of the limits does not exist. Correct Answer Is : Lim x → a¯ f(x)≠lim x → a?f (a) If f and g are two real value functions defined on the same domain, which are continuous at x = a, then the function ______ is continuous at x = a, for any constant k ∊ R. Correct Answer Is : K.f If f and g are two real value functions defined on the same domain, which are continuous at x = a, then the function ______ is continuous at x = a. Correct Answer Is : Both 2 and 3 If f and g are two real value functions defined on the same domain, which are continuous at x = a, then the function f.g is continuous at _________ . Correct Answer Is : X = a True or false: the types of continuity 1. removable and irremovable Correct Answer Is : FALSE If f and g are two real value functions defined on the same domian, which are continuous at x = a, then the function ______ is continuous at x = a, when g (x)≠0. Correct Answer Is : F / g If f and g are two real value functions defined on the same domian, which are continuous at x = a, then composite functions, ______________ ,if well defined are continuous functions at x = a. Correct Answer Is : F (g) (x) and g (f) (x) A function f is ___________ at a point x = a in the domain of f if, f (x) exist and lim x → a f(x) = f(a). Correct Answer Is : Continuous 