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.
Not at all.Y = x2 is a continuous function.
No, they can only be jump continuous.
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.
Not at all.Y = x2 is a continuous function.
No, they can only be jump continuous.
The tan [tangent] function.When a function has two or more brakes, this is not a continuous function, but it can be a continuous function in some intervals such as the tangent does.