n = #{latex(term)} \cdot \frac{#{latex(variable**(total_power))}}{1}\).</p>
<p>And so, \(\lim_{n\to \infty} a_n/b_n = L = #{latex(limit(numerator_term * var('x')**total_power/denominator_term,x=oo))}\).</p>
<p>Because \(L = #{latex(limit(numerator_term * x**total_power/denominator_term,x=oo))} > 0\), we may conclude that \(\sum_{#{variable}=#{initial}}^\infty a_{#{variable}}\) and \(\sum_{#{variable}=#{initial}}^\infty b_{#{variable}}\) either both converge or both diverge.</p>
<p condition="total_power <= 