True-False Quiz; Chs 11A

This is just for practice and doesn't affect your grade. I assume you have read Ch.11.1 thru 11.7.

Notation: åan means "from 1 to ¥" and all limits are as n®+¥.

True False. 10! over 5! = 2!

True False. If { an } converges then lim an - an-1 = 0.

True False. If { an } is geometric and a1 = 2 and a3 = 18 then a2 = 6.

True False. The harmonic series converges to zero.

True False. If lim an = 0 then åan converges.

True False. If |r | < 1 then åarn = a/(1-r).

True False. If 0 £ an £ bn and åan converges then åbn converges.

True False. If 0 £ an+1 £ bn and åbn converges then åan converges.

True False. If åan does not converge then å|an | doesn't either.

True False. If åan and å-an both converge then so does å|an |.

File translated from TEX by TTH, version 3.05. On 11 Mar 2002, 19:36. Written by S Hudson.

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