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Problem 18

Make a table of values for the function $F(x)=(x+2) /(x-2)$ at the points $x=1.2, x=11 / 10, x=101 / 100, x=1001 / 1000$ $x=10001 / 10000,$ and $x=1 .$ a. Find the average rate of change of $F(x)$ over the intervals $[1, x]$ b. Extending the table if necessary, try to determine the rate of change of $F(x)$ at $x=1 .$

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