Question: ........................ 7. Remember that there is an alternative notation for the slope of the tangent line: If we let h = r - 2, then

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7. Remember that there is an alternative notation for the slope of the tangent line: If we let h = r - 2, then x = 2 + h, and as r -+ 2, h -+ 0, Thus, mton = lim f(x) - f(2) = lim f(2+ h) - f(2) 1-+2 I - 2 1-+0 Using Desmos, fill in the following table to calculate the limit at r approaches 2 from both sides. Round your answers to 6 decimal places. h f(2 + h) - f(2) h -0.1 -0.01 -0.001 -0.0001 0.1 0.01 0.001 0.0001 0 Estimate the Actual Slope = mtan = 8. How do the values in the table above correspond to the values on the previous page? 9. Confirm your result above algebraically be calculating the following limit. (You may use Desmos as an aid in calculation, but show me the setup and a few intermediate steps.) f(2 + h) - f(2) mian = lim h-40
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