The Infinite Series Module

A Set of Open Resources on Infinite Series

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Quiz 2

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The following quiz covers topics in Unit 2.

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Quiz 2: Convergence Tests

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Consider the following infinite series

Determine, if possible, whether the infinite series converges.

This series is convergent.

This series is divergent.

The convergence tests covered in the infinite series module can not determine whether this series converges.

Find all the values of x such that the following series will converge:

1 < x < 3

-1 < x < 1

-1 < x < 3

-1 ≤ x ≤ 3

1 ≤ x ≤ 3

The series is convergent for all values of x

Consider the infinite series

The divergence test

tells us that the series converges.

tells us that the series diverges.

cannot be applied.

is inconclusive.

Consider the infinite series

This series converges.

This series diverges.

None of the convergence tests covered in the infinite series module can be applied to determine whether this series converges.

Consider the infinite series

For what values of p is the series convergent?

The series converges for p ≤ 0

The series converges for p < 0

The series converges for all values of p

The series does not converge for any value of p

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