Mariam A.

asked • 01/31/22

Please I need answer for no. c with explanation by steps ASAP !!

Let f(x) = \frac{5^{x}-1}{x}.

a) Fill in the following table of values for f(x):

x = -0.1 -0.01 -0.001 -0.0001 0.0001 0.001 0.01 0.1
f(x) = 1.486600775 1.596555664 1.608143462 1.609308405 1.609567434 1.610733753 1.622459127 1.746189431

b) Estimate the value of the limit below.

\lim\limits_{x\to0}\,\frac{5^{x}-1}{x} = 1.609

c) Graph the function to see if it is consistent with your answers to parts (a) and (b). By graphing, find an interval for x near zero such that the difference between your conjectured limit and the value of the function is less than 0.01. In other words, find a window of height 0.02 such that the graph exits the sides of the window and not the top or bottom. What is the window?

..........\le x \le .........

...........\le y \le .........

Mark M.

Did you graph the function?
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01/31/22

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