are the following sums,with general tern an, convergent or divergent.
my book says convergent but i think divergent since
an=1/n^2 + 1/n >1/n
book says convergent but i think divergent
this time i think an>(1+n)/(n+n^2)=1/n
3) an=1/[n ln(n)] convergent
compare with un=1/n^2 so an/un=n/ln(n) which tends to 1
i think convergent but not sure how to show this.
5) an=ln (n)/(2n^3-1)
as for 4. think convergent but not doing correct comparison.
this converges, i put into partial fractions and got an expression for the sum. Is there a nice comparison to show it quicker?