Hello, Jojo123!
We have: /
. . . . . .
Hence: .
. . . . . .
. . . . . .
This product has an infinite number of factors which are greater than 8.
. . Hence, the product diverges.
Therefore, the series diverges.
Determine whether those series are converge and diverge?if possible, find the limit of the convergent series.
1. ∑ (n^+2^n)/(n+3^n) from n=1 to infinite
2. log(8n^2 + 1) + 2 log(1/n)
3. [√(n^4+ 3n^2+ 1)] - n^2 -1 ( just this sequence, not "sum")