Check all of the following that are true for the series
∑n=1∞(n−3)cos(n*π)n^2
A. This series converges B. This series diverges C. The integral
test can be used to determine convergence of this series. D. The
comparison test can be used to determine convergence of this
series. E. The limit comparison test can be used to determine
convergence of this series. F. The ratio test can be used to
determine convergence of this series. G. The alternating series
test can be...
Determine if the following series converge or diverge. If it
converges, find the sum.
a. ∑n=(3^n+1)/(2n) (upper limit of sigma∞, lower limit is
n=0)
b.∑n=(cosnπ)/(2) (upper limit of sigma∞ , lower limit is n=
1
c.∑n=(40n)/(2n−1)^2(2n+1)^2 (upper limit of sigma ∞ lower limit
is n= 1
d.)∑n = 2/(10)^n (upper limit of sigma ∞ , lower limit of sigma
n= 10)
Determine if each of the infinite series below
converges or diverge. State the criteria used to make the
determination, and show the work.
(7 pts)
n=1∞sin(1/n)
(7 pts)
n=1∞ln(n)/n
(7 pts)
n=1∞2n/n!