# Use the Limit Comparison Test to determine the convergence or divergence of the series. sum_{n=1}^inftyfrac{5}{4^n+1}

Question
Series
Use the Limit Comparison Test to determine the convergence or divergence of the series.
$$\sum_{n=1}^\infty\frac{5}{4^n+1}$$

2020-12-17
Given series, $$\sum_{n=1}^\infty\frac{5}{4^n+1}$$
we have to determine the convergence or divergence of the given series.
Consider $$a_n=\frac{5}{4^n+1}$$
Since $$4^n+1>4^n$$
$$\Rightarrow\frac{1}{4^n+1}<\frac{1}{4^n}$$</span>

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