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.
The sum is infinite
yes it is a continuous function.
Ans: A natural log function ALWAYS has base e ( e is the irrational number that is the sum of the infinite series 2 + 1 / 2! + 1 /3! + 1 /4! + . . . )
A quantitative variable where there is a continuous (no infinite number) of attributes. For example length/height/weight can be measure as continuous as it has not set number
It is a trigonometric function. It is also continuous.
Yes, the sum of infinite ones equal the sum of infinite twos.
Yes. The cosine function is continuous. The sine function is also continuous. The tangent function, however, is not continuous.
The sum is infinite
yes it is a continuous function.
It's an infinite sum of sines and cosines that can be used to represent any analytic (well-behaved, like without kinks in it) 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
Ans: A natural log function ALWAYS has base e ( e is the irrational number that is the sum of the infinite series 2 + 1 / 2! + 1 /3! + 1 /4! + . . . )
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 number.
Speed is a continuous variable since it can take on an infinite set of values.