MHB Example of right upper semicontinuous function

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I am researching right upper semicontinuous function but I didnt find...Please give some examples...thank a lot
 
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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)
 
I posted this question on math-stackexchange but apparently I asked something stupid and I was downvoted. I still don't have an answer to my question so I hope someone in here can help me or at least explain me why I am asking something stupid. I started studying Complex Analysis and came upon the following theorem which is a direct consequence of the Cauchy-Goursat theorem: Let ##f:D\to\mathbb{C}## be an anlytic function over a simply connected region ##D##. If ##a## and ##z## are part of...
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