- #1
linuxux
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Infinite Series (2 diverge --> 1 converge)
I've been trying to figure this question out:
Find examples of two positive and decreasing series, [tex]\sum a_n[/tex] and [tex]\sum b_n [/tex], both of which diverge, but for which [tex]\sum min(a_n,b_n)[/tex] converges.
It doesn't make any sense to me that any positive and decreasing divergent series can be combined with another to produce a convergent series. Thanks in advance.
I've been trying to figure this question out:
Find examples of two positive and decreasing series, [tex]\sum a_n[/tex] and [tex]\sum b_n [/tex], both of which diverge, but for which [tex]\sum min(a_n,b_n)[/tex] converges.
It doesn't make any sense to me that any positive and decreasing divergent series can be combined with another to produce a convergent series. Thanks in advance.