Mastering Continuity: The Importance Of Smooth Function Transition In Mathematics

Definition of Continuity:1) ___________________2) ___________________3) ___________________

1) f(c) is defined2) lim x->c of f(c) exits3) lim x-> c of f(x) = f(c)

1) Continuity is a property of a function where its values do not have any abrupt or sudden change over a certain domain.
2) It means that the function can be drawn without lifting the pen from the paper.
3) In mathematical terms, a function f(x) is said to be continuous at a point x=a if the limit of f(x) as x approaches a from both sides exists and is equal to f(a).

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