Understanding P Series and Related Concepts

A series that always diverges

A series where the exponent is a variable

A series with a constant exponent in the denominator

A series that always converges

When p is between 0 and 1

When p is less than 0

When p equals 1

When p is greater than 1

A geometric series with a common ratio of 1

A P series with p equal to 1

A P series with p equal to 2

A series that converges

In a P series, the exponent is a variable

In a geometric series, the exponent is a variable

In a geometric series, the base is a constant

In a P series, the base is a constant

1

3

1/3

0

It converges

It diverges

It is a geometric series

It is not a P series

k = 0

k > 3

k < 3

k = 3

k > 1/2

k = 0

k < 1/2

k = 1/2

If a series converges when the limit is zero

If a series diverges when the limit is zero

If a series diverges when the limit is non-zero

If a series converges when the limit is non-zero

To find the sum of a series

To determine if a series is geometric

To determine the value of p in a P series

To check if a series converges or diverges