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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Discussion Overview

The discussion revolves around the capabilities of the TI-89 calculator in handling infinite series and power series, particularly in the context of preparing for a calculus midterm. Participants explore whether the calculator can be used to determine convergence or divergence of series and to work with Taylor polynomials.

Discussion Character

  • Exploratory, Technical explanation, Homework-related

Main Points Raised

  • One participant inquires about the ability of the TI-89 to work with infinite and power series, expressing a need for assistance with calculus worksheets.
  • Another participant points out that the TI-89 has a sum function that can be used for infinite series, providing an example of its use with a geometric series.
  • A participant confirms that they successfully tested the sum function with geometric series, indicating satisfaction with its performance.
  • There is a question about the TI-89's capability to handle power series and determine convergence intervals, with one participant reporting that their attempts returned the original input instead of a result.
  • A later post expresses urgency for help regarding the calculator's functionality with power series and Taylor polynomials.

Areas of Agreement / Disagreement

Participants generally agree that the TI-89 can handle some infinite series, but there is uncertainty about its capabilities with power series and Taylor polynomials, as this remains unresolved.

Contextual Notes

Limitations include the lack of clarity on the specific functions available for power series and the conditions under which they may or may not work as expected.

Who May Find This Useful

Students preparing for calculus exams, particularly those using a TI-89 calculator and needing assistance with infinite and power series.

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, [itex]\Sigma(1/x^2,x,1,\infty)[/itex] returns [itex]\frac{\pi^2}{6}[/itex].

--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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