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What is continuity of a function?

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Answer: Function Continuity:

  • If the curve can be drawn without breaking, the function is considered to be continuous in the interval.
  • If every point in the interval satisfies the function, the function is said to be continuous.
  • If and only if the function is defined at x=a,

a) then the function is continuous at that point.

b) As x gets closer to a, the function’s limit is present from both ends (Left and right).

c) The function’s value at x=a is the same as the limit of the function as x approaches a from both ends (Left and Right).