One-Sided Continuity

Definition (One-Sided Continuity) The function one sided continuity _gr_1.gif]is continuous from the right at one sided continuity _gr_2.gif] if and only if one sided continuity _gr_3.gif] and it is continuous from the left at one sided continuity _gr_4.gif] if and only if one sided continuity _gr_5.gif]

Example (One-Sided Continuity) Give an example of a function that is continuous from the right at one sided continuity _gr_6.gif]

    Solution. The function one sided continuity _gr_7.gif] is continuous from the right at one sided continuity _gr_8.gif] because one sided continuity _gr_9.gif] one sided continuity _gr_10.gif]

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One Sided Continuity
Published by Library of Math -- Online math organized by subject into topics.
Written by Smith, David A.
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