Comparison test for series
= Comparison test for series
For nonnegative sequences with $0\leq a_n\leq b_n$, convergence of $\sum_nb_n$ implies convergence of $\sum_na_n$, while divergence of $\sum_na_n$ implies divergence of $\sum_nb_n$.
= Comparison test for series
For nonnegative sequences with $0\leq a_n\leq b_n$, convergence of $\sum_nb_n$ implies convergence of $\sum_na_n$, while divergence of $\sum_na_n$ implies divergence of $\sum_nb_n$.