#### chwala

Gold Member

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**1. The problem statement, all variables and given/known data**

Determine whether the series ## \frac {(n^3+3n)^{1/2}} {5n^3+3n^2+2 sin (n)}## converges or not

**2. Relevant equations**

**3. The attempt at a solution**

looking at ## 1/sin (n) ## by comparison,

##1/n^2=1+1/4+1/9+1/16+...## converges for ##n≥1##

for ##n≥1 ##

implying that ##{sin (n)}≤n ##

##1/2sin (n) ≤1/{n} ## converges, up to this point i have been trying to look at the trig. term in the series....

again by comparison,...