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In advanced mathematics, if p is an arbitrary real number, how to judge the convergence and divergence of this series?
4( 1)

Latent Image Memory (abbreviation for latent image memory)

|a

|

=

Latent Image Memory (abbreviation for latent image memory)

1/n

=

|a

|

=

1/(n+ 1)

& lt

1/n

=

|a

|

,

According to the judgment theorem of convergence of staggered series, the series converges, but there are conditions.

(2)

1/(2n- 1)

& gt

1/(2n)

=

( 1/2)∑

1/n

If the latter diverges, the original series diverges.

(3)

|sinn/2^n|

& lt

1/2^n

=

1

If the latter converges, the original series converges and absolutely converges.