Question
Use your calculator to generate a table of values to help you estimate the value for the limit limit (e^h - 1)/h as h approaches 0
Use your calculator to generate a table of values to help you estimate the value for the limit
limit (e^h - 1)/h as h approaches 0
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Koala Tutor
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To generate a table of values to estimate the limit of (e^h - 1)/h as h approaches 0, you can use your calculator to evaluate the expression for small values of h. Here is a table of values with h approaching 0:
h | (e^h - 1)/h
------------------
0.1 | 1.05170918
0.01 | 1.00501671
0.001 | 1.00050017
0.0001| 1.00005000
0.00001| 1.00000500
As h approaches 0, the values of (e^h - 1)/h approach 1. Therefore, we can estimate that the value of the limit is 1.
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