Calc BC Unit 10 Review

When does a geometric series diverge?

• When |r| ≥ 1

• When |r| > 1

• When r ≥ 1

• When |r| < 1

When does a geometric series converge?

• When |r| > 1

• When |r| ≥ 1

• When r < 1

• When |r| < 1

Using the nth term test, the series converges when...

• the limit equals 0

• the limit equals infinity

• the limit approaches 1

• the nth term test does not determine convergence

Using the nth term test, the series diverges when...

• the limit approaches 0

• the limit is not 0

• the limit is infinity

• the limit does not exist

A p-series converges when...

• p < 1

• p ≥ 1

• p > 1

• p = 1

A p-series diverges when...

• p < 1

• p ≤ 1

• p > 1

• p = 1

The harmonic series is...

• (1 / n)

• (1 / n+1)

• n

• when p < 1

The harmonic series automatically...

• converges

• diverges

Using the integral test, which is true?

• If the limit of the integral of a series diverges, the series converges.

• If the limit of the integral of a series exists, the series converges.

• If the limit of the integral of a series equals 1, the series diverges.

• If the limit of the integral of a series approaches 0, the series diverges.

What are the criteria for the integral test?

• continuous

• positive

• decreasing

• increasing