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Calc II

jessicacoulter95 Inglés 27 fichas

Fichas del conjunto (27)

  1. 1L'Hopitals RuleIf limit is (0/0) or (infinity/infinity) then you derive the top and bottom till you get an answer
  2. 2geometric seriessummation of: ar^n which = a/1-r if it converges (when |r|<1); diverges when |r|>/=1
  3. 3harmonic series1/n => diverges
  4. 4nth term of Taylor series(f^n(0)/n!)x^n
  5. 5Taylor errorerror
  6. 6circle shaped graphcircle
  7. 7multiple loops graphrose (number of leaves)
  8. 8heart shaped graphcardiod
  9. 9misshaped circlelimacon (can contain inner loop)
  10. 10figure 8lemniscate
  11. 11area of sector of a circle(1/2)r^2theta
  12. 12x=rcostheta
  13. 13y=rsintheta
  14. 14nth term testtest for divergence only. If limit to infinity does not = 0, or does not exist, then it diverges
  15. 15Integral testf is continuous and increasing. If equals infinity diverges, anything else converges.
  16. 16p-series testsummation of (1/n)^p, converges when p>1 and diverges when p
  17. 17comparison test0
  18. 18limit comparison test0
  19. 19ratio testlim of a(n+1)/a(n)=p; if p<1 converges; if p>1 diverges; if p=1 inconclusive
  20. 20alternating series testonly for alternating series (-1)^n; if lim=0 then series converges
  21. 21absolute convergence testif |a(n)| converges then so does a(n)
  22. 221/1-xsummation of x^n
  23. 23e^xsummation of [(-1)^nx^n]/n!
  24. 24sinxsummation of [(-1)^nx^2n+1]/(2n+1)!
    odds
  25. 25cosxsummation of [(-1)^nx^2n]/2n!
    evens
  26. 26sinhx|sinx|
  27. 27coshx|cosx|

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Fichas sobre Calc II, creado por jessicacoulter95 el 10/12/2013.
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