Definition of Continuity at a Point

Key Questions

• How do you find the points of continuity and the points of discontinuity for a function?

  Answer:

  A simple statement can be made as follows:

  Explanation:

  The points of continuity are points where a function exists, that it has some real value at that point.
  Since the question emanates from the topic of 'Limits' it can be further added that a function exist at a point 'a' if #lim_ (x->a) f(x)# exists (means it has some real value.)

  The points of discontinuity are that where a function does not exist or it is undefined.

  bp · 1 · May 27 2016
• What is the definition of continuity at a point?

  Definition

  A function #f(x)# is said to be continuous at #a# if #lim_{x to a}f(x)=f(a)#.

  I hope that this was helpful.

  Wataru · · Oct 8 2014

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