Flashcards
Calc II
Cards in this deck (27)
- 1L'Hopitals RuleIf limit is (0/0) or (infinity/infinity) then you derive the top and bottom till you get an answer
- 2geometric seriessummation of: ar^n which = a/1-r if it converges (when |r|<1); diverges when |r|>/=1
- 3harmonic series1/n => diverges
- 4nth term of Taylor series(f^n(0)/n!)x^n
- 5Taylor errorerror
- 6circle shaped graphcircle
- 7multiple loops graphrose (number of leaves)
- 8heart shaped graphcardiod
- 9misshaped circlelimacon (can contain inner loop)
- 10figure 8lemniscate
- 11area of sector of a circle(1/2)r^2theta
- 12x=rcostheta
- 13y=rsintheta
- 14nth term testtest for divergence only. If limit to infinity does not = 0, or does not exist, then it diverges
- 15Integral testf is continuous and increasing. If equals infinity diverges, anything else converges.
- 16p-series testsummation of (1/n)^p, converges when p>1 and diverges when p
- 17comparison test0
- 18limit comparison test0
- 19ratio testlim of a(n+1)/a(n)=p; if p<1 converges; if p>1 diverges; if p=1 inconclusive
- 20alternating series testonly for alternating series (-1)^n; if lim=0 then series converges
- 21absolute convergence testif |a(n)| converges then so does a(n)
- 221/1-xsummation of x^n
- 23e^xsummation of [(-1)^nx^n]/n!
- 24sinxsummation of [(-1)^nx^2n+1]/(2n+1)!
odds - 25cosxsummation of [(-1)^nx^2n]/2n!
evens - 26sinhx|sinx|
- 27coshx|cosx|
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- Flashcards on Calc II, created by jessicacoulter95 on 10/12/2013.
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- jessicacoulter95
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