Continuity 2.6

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Continuity 2.6

• Calculus 1

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Definition of continuity
Which means
The function must have a value
The function must have a limit
The two must be the same
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Definition of continuity
The two must be the same
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A function is continuous on an interval if we can
draw the graph from start to finish without ever
once picking up our pencil.
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Graph of
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Graph of
Some discontinuities are removable.
Removable Non-Removable
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Continuity at a pointex. Determine whether the
function is continuous at a. Justify your answer.
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For many functions, its easier to determine
where it is NOT continuous
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Continuity on intervalsex. Determine the
intervals on which the functions are continuous.
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Continuity on intervals(cont.)ex. Determine
the intervals on which the functions are
continuous. Then evaluate the given limits.
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