no , since there is a function which lsc but not usc.
yes it is a continuous function.
An infinite sum of continuous functions does not have to be continuous. For example, you should be able to construct a Fourier series that converges to a discontinuous function.
It is a trigonometric function. It is also continuous.
No, they can only be jump continuous.
Not at all.Y = x2 is a continuous function.
Extrusion is considered a semicontinuous process because it involves the continuous feeding of raw materials into the machine while producing a finished product in a continuous manner. However, the process is interrupted periodically for maintenance, adjustments, or changes in material, which prevents it from being fully continuous. Additionally, the extrusion process can produce discrete lengths of product, such as pellets or sheets, further contributing to its semicontinuous nature. This combination of continuous material flow with intermittent production cycles characterizes its semicontinuous operation.
Yes. The cosine function is continuous. The sine function is also continuous. The tangent function, however, is not continuous.
yes it is a continuous function.
Yes, a polynomial function is always continuous
That's true. If a function is continuous, it's (Riemman) integrable, but the converse is not true.
Weistrass function is continuous everywhere but not differentiable everywhere
Yes, that happens with any continuous function. The limit is equal to the function value in this case.Yes, that happens with any continuous function. The limit is equal to the function value in this case.Yes, that happens with any continuous function. The limit is equal to the function value in this case.Yes, that happens with any continuous function. The limit is equal to the function value in this case.
An infinite sum of continuous functions does not have to be continuous. For example, you should be able to construct a Fourier series that converges to a discontinuous function.
It is a trigonometric function. It is also continuous.
yes, every continuous function is integrable.
No, they can only be jump continuous.
Not at all.Y = x2 is a continuous function.