Let [math]\sum a_n[/math], [math]\sum c_n[/math], [math]\sum d_n[/math] be series with nonnegative terms. [br]Suppose that for some integer [math]N[/math],[br][center][math]d_n\le a_n\le c_n[/math] for all [math]n>N[/math].[/center](a) If [math]\sum c_n[/math] converges, then [math]\sum a_n[/math] also converges.[br](b) If [math]\sum d_n[/math] diverges, then [math]\sum a_n[/math] also diverges.

[i]Developed for use with Thomas' Calculus, published by Pearson.[/i]