Recall the Limit Comparison Test. When an >0 and bn >0 and,limnanbn= L,where L is finite and positive, then the two series anandbn either both converge or both diverge.We will compare the given series to 1n8n =1, which converges as it is a p-series with p >1.Let an =1n7(n +6) and bn =1n8. Substitute the values of an and bn, apply the limit n, and simplify it.limnanbn=limn1n7(n +6)1n8=limnn8n(n +6)=limn1(1+n)=