Anyway to do infnite series with a TI-89?

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  • Thread starter Thread starter FancyNut
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    Series Ti-89
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SUMMARY

The TI-89 calculator can effectively handle infinite series calculations, including convergence and divergence tests, using its built-in sum function. Users can access this feature through the Calc menu, specifically by selecting option 4: Sum, and utilizing the infinity button (Diamond / infinity). For example, the command \Sigma(1/x^2,x,1,\infty) successfully computes the sum to \frac{\pi^2}{6}. However, users have reported challenges when attempting to evaluate power series or Taylor polynomials, as the calculator may return the original input instead of a computed result.

PREREQUISITES
  • Familiarity with the TI-89 calculator interface
  • Understanding of infinite series and their convergence/divergence
  • Knowledge of power series and Taylor polynomials
  • Basic calculus concepts, including summation notation
NEXT STEPS
  • Explore the TI-89 manual for detailed instructions on using the sum function
  • Research methods for evaluating power series on the TI-89
  • Learn about convergence tests for series in calculus
  • Practice using the TI-89 with various infinite series problems
USEFUL FOR

Calculus students, educators, and anyone utilizing the TI-89 for mathematical computations involving infinite series and power series analysis.

FancyNut
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I have A LOT of problems in work sheets to do before my midterm on friday for calculus. The thing is, I don't have the solutions but I do have a TI-89 and it helped with checking my answers for integrals.


My question is, how do I (or even can I?) work with infinite/power (see if they converge, diverge, etc..) series with a TI-89? I only have the manual as a .pdf file and I can't find anything in it but I just want to make sure that I'm not missing something...


Thanks for any help.
 
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Your 89 has a sum function in f3: Calc / 4: Sum and an infinity button at Diamond / infinity (the catalog button). Why don't you take them out for a test drive?

The sum function takes arguments function, variable, lower limit, upper limit. For instance, \Sigma(1/x^2,x,1,\infty) returns \frac{\pi^2}{6}.

--J
 
heh I just tried some geometric series and it works. Sweet. :biggrin:

Thanks man!
 
hmm ok how about a power series (conv. interval..)? When I try it it just returns what I entered... :confused:
 
Last edited:
so... anybody wants to help?

I really need this. :cry:

Can the TI-89 even do power series and taylor polynomials?
 

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