sorry but are gone mad
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.
You have not specified any 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.
yes, every continuous function is integrable.
Not at all.Y = x2 is a continuous function.
No, they can only be jump continuous.