Assignment On Geometric Series

26.
n = 1001 terms.
25.
C- ∑
n =1
∞ xn
n 7n
R = 7
24.
Provide honor certification.
23.
Limit value = 1
Sequence convergent.
22.
The series is convergent geometric series.
21.
The series converges by comparison test each item less than convergent geometric series.
20.
Series divergent as result from root test is e.
19.
Convergent
Sum = 9
18.
n> e^5
√20
17.
Conditionally convergent
16.
The series is conditionally convergent
15.
The integral test cannot be used to determine whether the series is convergent since it does
not matter if the function is positive or decreasing on [1,∞)
14.
R = 1

f(x) = ∑
n=0
∞ (−1 )n x6 n+11
2 n+1
13.
The series is convergent for p > 1.
12.
The series diverges as 9/8 >1
11.
a) Inconclusive
b) conclusive (convergent)
c) conclusive (divergent)
d) Inconclusive
7.
R = 7
I = [-14,0]
10.
Decreasing
Not bounded
9.
Convergent geometric series
8.
Converges to π/4
6.
Converges to ln(4)
5.
R = 0
I = {1/4}
4.
f(x) = ∑
n=0
∞
(−10 )n x2 n+1
Interval of convergence ¿( −1
√ 10 , 1
√ 10 )

3.
Diverges
2.
|r| = 5/7
Convergent sum = 1/12
1.
When ratio test is applied the result is 1/6.