MATH 142 Chapter 10 videos

Section 10.1 Sequences
HW 1, 7, 9, 17, 23, 25, 27, 29, 31, 37, 39, 41, 45, 47, 51, 53, 61, 63, 85, 91,
93

Worksheet

Section 10.2 Infinite Series
HW 2, 5, 7, 13, 18, 19, 25, 27, 31, 35, 39, 41, 47, 49, 53, 55, 59, 71, 73, 75

Worksheet

Section 10.3 The Integral Test
HW 1-39 odds

Worksheet

Section 10.4 Comparison Test
HW 1-53 every other odd

Worksheet

Section 10.5 The Ratio and Root Test
HW 1-61 every other odd

Worksheet

Section 10.6 Alternating Series, Absolute and Conditional Convergences
HW 3 through 48 multiples of three

Worksheet

Section 10.7 Power Series
HW 1 through 47 odds

Worksheet

Section 10.8 Taylor and Maclaurin Series
HW 1-33 every other odd

Worksheet

Section 10.9 Convergence of Taylor Series
HW 1-33 every other odd

Worksheet

Section 10.10 The Binomial Series and Applications of Taylor Series
HW 1-17 odds, 29-49 every other odd

Worksheet

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Questions asked by students

10-1-39 oscillating terms

10-1-45 Sandwich Theorem

10-1-53 definition of e

10-1-63 a sequence converges

10-1-95 convergent sequence

10-2-5 partial fractions into telescoping series

10-2-43 telescoping series

10-2-61 factorial and power problem

10-3-9 convergent series using tabular integration and integral test

10-3-23 constant times a divergent series

10-3-33 sine series that diverges by nth term test

10-4-53 series with needing to find a summation formula

10-5-5 ratio and root test on a fraction with n in numerator and exponent of denominator

10-5-13 ratio and root test on a fraction with n in denominator and exponent

10-5-17 ratio and root test for n in numerator and denominator

10-5-25 definition of e in the problem

10-5-29 root and ratio tests fail and thus used limit comparison test

10-5-37 ratio test

10-5-41 convergence series with two inconclusives along the way

10-5-53 recursive equation diverge

10-6-24 absolutely convergence

10-6-30 conditionally convergent

10-6-36 conditionally convergent

10-6-42 diverges

10-6-48 absolutely converges

10-6-24,30,36,42,48 pdf of the problems

10-7-18 series convergence

10-7-21 series convergence

10-7-24 series convergence

10-7-30 series convergence

10-7-36 series convergence

10-7-48 series convergence