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

.