[IIT 1983] Discuss the continuity of f, f ' and f '' on [0,2] where f(x) is defined as follows.

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[IIT 1983] Find f ' (0+) and f ' (0-) where f(x) is defined as follows.

[IIT 1994]Evaluate continuity & differentiability of f(x)and f '(x) where f(x)is defined as follows.

[IIT 1982] Determine values of a, b & c for which following function f(x) is continuous at x = 0.

3 Step Continuity Test, Discontinuity, Piecewise Functions & Limits | Calculus

Find f(4/25) where f(x) is defined per the following integral equation.

[IIT 1983] Find the limit of [g(x)f(a) - g(a)f(x)] / (x - a) as x tends to a.

[IIT 1983] What should f(x) be at x = 0 so that it is continuous at that point.

Is the function continuous?