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Determine if the following series converges or diverges. Show steps!

Determine If The Following Series Converges Or Diverges Show Steps class=

Answer :

converges by p series test
top section is almost constant, can never be larger than 3
so, compare degrees of their exponents, in this case it’s at a maximum of 3/1000n^2. the same as saying (3/1000)*summation of p series.
converges absolutely.