Using an integral to calculate a sum over $f(n)$ (where $n$ is an integer) is a good approximation when
A) the summed values $f(n)$ are individually small.
B) the value of $\boldsymbol{f}(\boldsymbol{n})$ varies only very slowly with $\boldsymbol{n}$.
C) the value of $f(n)$ goes to zero as $n$ goes to infinity.
D) the value of $f(n)$ goes to zero as $n$ goes to zero.
E) All of the conditions above are true.

Question

Quizplus · Accepted Answer

Using an integral to calculate a sum over $f(n)$ is a good approximation when the value of $f(n)$ varies only very slowly with $n$, as this ensures the function behaves smoothly and continuously, similar to the conditions under which integrals are applied.

Using an Integral to Calculate a Sum Over f(n)f(n)f(n) (Where nnn Is an Integer) Is a Good Approximation When A) the n

Using an Integral to Calculate a Sum Over $f(n)$ (Where $n$ Is an Integer) Is a Good Approximation When
A) the n