1. Let A = {image} and B = {image} . Compare A and B.
A > B
A < B
A {image} B
A = B 1. 2. 3. 4. 5. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

2. the series is convergent the series is divergent
Use the Integral Test to determine whether the series is convergent or divergent. {image}
the series is convergent
the series is divergent 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

3. Series A is divergent, series B is convergent.
Given the two series {image} and {image} . determine whether each series is convergent or divergent and choose the correct statement.
Series A is divergent, series B is convergent.
Series A is convergent, series B is divergent.
Both series are convergent.
Both series are divergent. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

4. {image} 0.5 {image} 0.500001 {image} 0.499999 {image} 2.3 1. 2. 3. 4.
Use the sum of the first 10 terms to estimate the sum of the series {image} . Estimate the error in using {image} as an approximation to the sum of the series (use the comparison by the integral {image} ).
{image} 0.5
{image}
{image}
{image} 2.3 1. 2. 3. 4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

5. m > {image} m < {image} 1. 2. 3.
How many terms of the series {image} would you need to add to find its sum to within 0.5?
m > {image}
m < {image} 1. 2. 3. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50