APFIVE Integral Test For Series Convergence
Which of the following correctly applies the Integral Test to the series ∑n^3/(e^n) from n=1 to ∞?
A
The series diverges because ∫x^3/e^x dx from 1 to ∞ diverges
B
The series diverges because lim(n→∞) n^3/e^n ≠ 0
C
The integral test cannot be applied as f(x)=x^3/e^x is not decreasing
D
The series converges because ∫x^3/e^x dx from 1 to ∞ converges
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