Which one or ones of the following factors in the general term of a series prevent the use of the integral test to test for convergence?

Question

Which one or ones of the following factors in the general term of a series prevent the use of the integral test to test for convergence?

1. Negative exponents
2. Oscillating terms
3. Factorials

A	I only
B	II and III
C	I and II
D	I, II, and III

Answer 1

Hi Cameron L.,

I think it's B -- oscillating terms and factorials. I can imagine cases where oscillating terms wouldn't pose a problem, iff you could pair successive terms to make a monotonically converging series.

The negative exponents are no problem; negative exponent continuous functions are a snap to integrate (and to differentiate, which is how you can remember the integral!!).

--Cheers, --Mr. d.