Math, asked by sachu1092, 1 year ago

Example of function which is sectionally continuous

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Answered by Anonymous
8

\bold{Example:} The function f(x) = signum(x) is sectionally continuous on [-1, 1], but the function g(x) = 1/x is not sectionally continuous on that interval.

\bold{Example:} The function x is (even) continuous, but not sectionally smooth on [-1, 1] because the derivative goes to infinity as x approaches zero.

Answered by TheVang51
1

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