WritingIn Exercises 69 and 70, use a graphing utility to determine the first term that is less than 0.0001 in each of the convergent series. Note that the answers are very different. Explain how this will affect the rate at which the series converges.
To Calculate: The value of the first term which is less than 0.0001 for the series . Also, explain how this influences the rate of convergence.
First, consider the series .
Use TI-83 to the first term that is less than 0.0001 by following the steps:
Step1: Open TI-83 and press key.
Step2: Press key and select mode.
Step3: Press and keys, then, setup Table start to 95.
Step4: Press key.
Step5: Enter .
Step6: Press and keys to get the table.
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