How would you work out these problems to find out if they converge or diverge?
Problem 1
n=1 to infinity 1/(square root (n^3 +2))
Problem 2
n=1 to infinity n+2^n/ n^2 2^n
Problem 3
n=1 to infinity 3^(n-1) + 1/ 3^n
Hello, TAG16!
We have: .Converge or diverge?
Therefore, converges.
We have: .
Series . . . a convergent geometric series.
. . Hence, converges.
Series . . . a convergent -series.
. . Hence, converges.
The sum of two convergent series is convergent.
Therefore, converges.
We have: .
Hence: . . . . a divergent series
Therefore, diverges.