`sum_(n=0)^oo (n+10)/(10n+1)` Determine the convergence or divergence of the series.

Expert Answers

An illustration of the letter 'A' in a speech bubbles


For the seriesĀ `a_n=(n+10)/(10n+1)`




As per the n'th term test for divergence,

If `lim_(n->oo)a_n!=0` , then `sum_(n=1)^ooa_n` diverges

So, the series diverges.

See eNotes Ad-Free

Start your 48-hour free trial to get access to more than 30,000 additional guides and more than 350,000 Homework Help questions answered by our experts.

Get 48 Hours Free Access
Approved by eNotes Editorial