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 whereby its graph is a single unbroken curve without any sudden jumps, gaps or holes.
2) Continuity means that a function’s output gradually changes as its input changes.
3) More formally, a function is continuous if it maintains the same values and tendencies as we get closer and closer to its input (the point of continuity). That is, there are no sudden jumps, breaks or disruptions in the function’s behavior.
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