# Fall 2012   Math 152  Group Activity 10 (Overview of Convergence Tests)  Section ________  Names ____________________

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Fall   2012     Math   152   Group   Activity   10   (Overview   of   Convergence   Tests)

Section   ________    Names   ____________________

This   is   the   format   of   your   answers:

1.

Converge   or   diverge;

2.

The   reason   (named   or   stated   test);

3.

The   conditions   met   to   apply   the   test   (You   do   not   have   to   show   the   conditions,   just   state   them;

4.

The   application   of   the   test   (i.e.

the   computation   done).

Calculators   are   not   allowed.

Problems:

For   problems   1 ‐ 6,   determine   whether   the   series   converges   absolutely,   converges   conditionally,   or   diverges.

1.

2.

6.

7.

For   the   last   series,

the   series.

1.037392940198405.

Estimate   how   close   this   is   to   the   actual   sum

8.

How   many   terms   are   needed   to   find   the   sum   of   the   third   and   fourth   series   correct   to   within

0.001

?

of

3.

2.

Solutions:

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5.

4.

6.

7.

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8.

(1)   ___________________________________    (2)   ___________________________________