Define continuity of a function at a point.

Define a continuity of a function at a point. Find all the points of discontinuity of f defined by f(x) = |x| - |x - 1| .

Define the continuity of a function at a point within its domain of definition. The definition of a function is given below: f(x)={{:((1-cos5x)/(x^(2))," when "(xne0)),(k," when x = 0"):} Find the value of k for which f(x) is continuous at x = 0.

Continuity of composite function at a point

Define differentiability of a function at a point.

Define differentiability of a function at a point.

Define a continuous function at a point.

Define continuity and differentiability of a function at a point verify the continuity and differentiability of the function: , f(x)={[(1-x),x 2])

Define Critical point of a function.

Define Stationery point of a function.

Define a continuous function on the closed interval [a,b]