List questions from piecewise-continuity

Published on 24 Mar 2026 - 21:39

64

Views

Show $f(x)=\frac{1}{x}\sin(\frac{1}{x})$ is discontinuous at $0$ for any value given for $f(0)$

Published on 23 Mar 2026 - 10:08

29

Views

piecewise defining confusion

Published on 24 Mar 2026 - 21:39

58

Views

Given $f(x)=(\sin^2 x)^{\sec^2 x}$, make $f(x)$ continuous

Published on 17 Oct 2019 - 18:47

247

Views

Piecewise Fourier series with jump discontinuity

Published on 19 Oct 2019 - 16:58

82

Views

How to maximize an expression based on a piecewised function with respect to inequality constraints?

Published on 27 Oct 2019 - 13:08

347

Views

find a and b such that piecewise this piecewise function is twice differentiable

Published on 12 Nov 2019 - 11:43

175

Views

Single integral of multivariable piecewise function with conditions depending on other conditions

Published on 16 Nov 2019 - 15:03

701

Views

Integrate a piece-wise continuous function not defined at endpoint

Published on 16 Nov 2019 - 23:29

62

Views

Piecewise continuity and derivative

Published on 30 Nov 2019 - 8:11

80

Views

Function not piecewise continuous

Published on 01 Dec 2019 - 12:12

1k

Views

Finding multiple variables to make a function continuous

Published on 09 Dec 2019 - 13:54

105

Views

How to find topological properties of pre-image groups of a piecewise continuous function?

Published on 19 Dec 2019 - 10:06

57

Views

Is this a Dirac comb?

Published on 22 Mar 2026 - 6:06

335

Views

Does the cubic Hermite spline interpolation of a monotone data with known slopes guarantee the monotonicity in interpolation segments?

Published on 07 Jan 2020 - 23:26

List Question

Continuity of a Sub-Function at a Point

Show $f(x)=\frac{1}{x}\sin(\frac{1}{x})$ is discontinuous at $0$ for any value given for $f(0)$

piecewise defining confusion

Given $f(x)=(\sin^2 x)^{\sec^2 x}$, make $f(x)$ continuous

Piecewise Fourier series with jump discontinuity

How to maximize an expression based on a piecewised function with respect to inequality constraints?

find a and b such that piecewise this piecewise function is twice differentiable

Single integral of multivariable piecewise function with conditions depending on other conditions

Integrate a piece-wise continuous function not defined at endpoint

Piecewise continuity and derivative

Function not piecewise continuous

Finding multiple variables to make a function continuous

How to find topological properties of pre-image groups of a piecewise continuous function?

Is this a Dirac comb?

Does the cubic Hermite spline interpolation of a monotone data with known slopes guarantee the monotonicity in interpolation segments?

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