<p>Consider how the largest power in the numerator compares to the largest power in the denominator.</p>
<p>The largest power in the numerator is #{latex(numerator_power)}.</p>
<p>The largest power in the denominator is #{latex(denominator_power)}.</p>
<p>We will apply the limit comparison test.</p>
<p>Set \(a_{#{variable}} = #{latex(term)}\).</p>
<p>Set \(b_{#{variable}} = #{latex(1/variable**(total_power))}\).</p>
<p>Consider \(\lim_{n\to \infty} a_n/b_n\).</p>
<p>In this case, \(\lim_{n\to \infty} a_n/b_