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Homework answers / question archive / University of Maryland Global Campus MATH 141 6381- Calculus II Fall 2020 Quiz #7 (100 pts) 10/06/’20 (Show all your work to get full credit) (Due on Saturday, October 10, 2020 @ 11:59 p
University of Maryland Global Campus MATH 141 6381- Calculus II Fall 2020
Quiz #7 (100 pts) 10/06/’20
(Show all your work to get full credit)
(Due on Saturday, October 10, 2020 @ 11:59 p.m.)
1. (20 pts) Determine whether the given series converges or diverges.
a. 1∞-1n+1n2
b. 3∞-1n nn + 2
2. (40 pts) Determine whether the following series diverge or converge absolutely.
a. 1∞-1n+1n3
b. 0∞-1n n!en
c. 1∞-3n 1 + n2n!
d. 1∞-1n2n - 1!3n
3. (30 pts) Find the interval of convergence and the radius of convergence of the given power series.
a. 0∞n3n+1 (xn)
b. 0∞10nn! x-1n
c. 0∞n!x-5n
4. (10 pts) Find the Taylor series in powers of x
for e-2x
.
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