MHB Example of right upper semicontinuous function

[ozkan12]

I am researching right upper semicontinuous function but I didnt find...Please give some examples...thank a lot

 

[Jhoneine]

Right upper semicontinuous functions are functions that have the property that, for any x in the domain of the function, the upper limit of the function as x approaches that point from the right is equal to the value of the function at that point. Examples of right upper semicontinuous functions include:1) The absolute value function f(x) = |x|2) The exponential function f(x) = e^x3) The logarithm function f(x) = log(x)4) The square root function f(x) = sqrt(x)5) The trigonometric functions, such as f(x) = sin(x) and f(x) = cos(x)