Please solve fully
Determine whether the geometric series is convergent or
divergent. If it is convergent, find its sum.8 − 11 +
121
8
−
1331
64
+
Step 1
To see 8 − 11 +
121
8
−
1331
64
+ as a geometric series, we
must express it as
∞
ar n − 1
n = 1
.
For any two successive terms in the geometric series
∞
ar n − 1
n = 1
, the ratio of...
25. Answer these questions.
a. Is the series convergent of divergent? Why? Use any method.
Sum (upper inf, bot n=1) of (1)/(n3+5)
b. Is the series convergent of divergent? Why? Use any method.
Sum (upper inf, bot n=1) of
(-1n)(sin(1/n2))
c. Find the radius and interval of convergence. Sum (upper inf,
bot n=1) of (xn)/((4n)(n2))
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)
Find the values of p for which the series is convergent
(a) Σ(n=2 to ∞) 1/n(ln n)^p
(b) Σ(n=2 to ∞) n(1+n^2)^p
HINT: Use the integral test to investigate both
-Write a program in C++:
• to find the sum of the series 1! /1+2! /2+3! /3+4! /4+5! /5
using the function1,
• to convert decimal number to binary number using the
function2,
• to check whether a number is a prime number or not using the
function3,
• to check whether two given strings are an anagram using the
function4.
important must do in (Multi-Filing) of c++
Prove series 2, (-1/2), (2/9), (-1/8) is convergent by the
alternating series test and find the number of terms required to
estimate the sum of the series with an error of less than 0.05