1">The series \(\sum_{#{variable}=#{initial}}^\infty b_{#{variable}}\) diverges by \(p\)-series test.</p>
<p condition="total_power <= 1">So the series \(\sum_{#{variable}=#{initial}}^\infty a_{#{variable}}\) diverges, too, by the Limit Comparison Test.</p>
<p condition="total_power > 1">The series \(\sum_{#{variable}=#{initial}}^\infty b_{#{variable}}\) converges by \(p\)-series test.</p>
<p condition="total_power > 1">So the series \(\sum_{#{variable}=#{initial}}^\infty a_{#{variable}}\) converges, too, b