Infinite Sequences and Series (BC Only)

Less than or equal to $\frac{1}{16}$

Less than or equal to $\frac{1}{25}$

Greater than or equal to $\frac{1}{25}$

Greater than or equal to $\frac{1}{16}$

Both convergent and divergent

Convergent

Neither convergent nor divergent

Divergent

A series that does not have a limit as n approaches infinity

A series that has infinitely many terms

A series where the middle terms cancel out, leaving only the first and last terms

A series that is neither convergent nor divergent

That $-1 < p <0$.

That $0 < p < 1$.

That $p > 1$.

That $p < -1$.

Replacing factorial with $(x-a)$ raised to a higher power maintaining differentiability of f.

Increasing n by one in all terms while keeping f differentiable at x = a.

Making f non-differentiable at every point near x = a.

Decreasing x by half towards approaching limit near center 'a'.

Changing the exponent on n from 1 to any number greater than or equal to one

Changing the exponent on n from 1 to exactly 2

Keeping the exponent on n as is without change

Changing the exponent on n from 1 to any number less than 1

The series converges only if the first term is negative

The sum of the series equals infinity

The Series converges

The series does not have a sum

$p = 1$

$p \leq 0$

$p > 1$

$0 < p \leq 1$

The sequence is a convergent sequence.

The sequence is a divergent sequence.

The sequence is a decreasing sequence.

The sequence is an increasing sequence.

$t_\infty$ is a convergent series.

It cannot be determined whether $t_\infty$ is convergent or divergent.

$t_\infty$ is a divergent series.

$t_\infty$ is neither convergent nor divergent