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# Find the average rate of change of the given function over the interval [a, a+h] for h=1, 0.01, and 0.001. (Round answers to four decimal places.) Then estimate the slope of the tangent line to the graph of the function at a. $f(x)=\frac{1}{x+1}$; a=0

Solution

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We will use the following formula:

\begin{align*}\text{Average rate of change of } f\text{ over } [a,a+h]=\frac{f(a+h)-f(a)}{h}. \end{align*}

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