I cant understand this [tex]\sum{A_n}\leq \sum{B_n}[/tex] having said this(adsbygoogle = window.adsbygoogle || []).push({});

if [tex]\sum{B_n}[/tex] converges so does [tex]\sum{A_n}[/tex], okay that

makes perfect sense but then the second rule of comparison is if [tex]\sum

{A_n}[/tex] diverges then so does [tex]\sum{B_n}[/tex] diverges too...can

anyone tell me how that makes sense? A proof maybe..?

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# Second rule of comparison in math series

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