- #1
yecko
Gold Member
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- 15
Homework Statement
evaluate ## \sum _{n=1}^{\infty }4^{\frac{1}{n}}-4^{\frac{1}{n+2}}## .
https://holland.pk/uptow/i4/fc981b864d95a636c4f08b9deb209cd6.png
Homework Equations
telescoping series: sum = infinite lim (a1-a(n+1))
S=a/(1-r)
The Attempt at a Solution
as the latter function is of "n-2" instead of "n-1", it isn't telescoping series, right?
however, I don't know how to prove it is divergent instead of convergent in this question.
thank you very much!