Flashcards
Series
Cards in this deck (16)
- 1inf ser defsum of terms in seq
- 2conv of ser{s(n)}->L
sigma(n=1->inf) a(n)=L - 3sum of GSa/(1-r)
when |r|<1 - 4what to do when we get telescopic series?use nth partial sum method and partial fractions
- 5thm 1 if ser conv, then seq conv to 0 PROOFSn-> S
for large n, S(n-1)->S
an=Sn-S(n-1) - 6nth term test for divser div if seq !->0 or even if seq div
- 7combining sums?
- 8Sum diff and K rulesif ser 1->A and ser 2->B
ser(1 +- 2)-> A+-B
ser(K1)->KA - 9indexing?
- 10HS always conv when p___1 and div when p___1 1/(n^p)>
<= - 11INTEGRAL TEST PROOF?
- 12Cauchy Condensation Testif seq an is non increasing and conv to 0, the its ser conv ifff
ser(2^n * a(2^n) ) conv - 13Comparison Test *smack* *roof*if we hav ser (an) and ser (bn); an,bn > 0 for all n; an
- 14comparison test PROOF?
- 15limit comparison test?
- 16limit comparison test PROOF?
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- Flashcards on Series, created by Pushpita on 28/09/2015.
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- Pushpita
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