If a function is differentiable at x = a,then it is continuous at x = a.

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The statement is true. It is a well known theorem in calculus known as the "differentiability implies continuity theorem". It states that if a function is differentiable at a point, then it must be continuous at that point. This is because the definition of differentiability includes the requirement that the function be "well-behaved" (i.e. continuous) in a small neighborhood around the point of interest.

If a Function Is Differentiable at X = A,then It