1. Construct the table of values for f(x) = sin x . Start by approaching 0 from the left or through the values less than but close to 0 then consider approaching 0 from its right or through values greater than but close to 0. f(x) f(x) - 1 1 - 0.5 0.5 - 0.25 0.25 - 0.10 0.10 - 0.01 0.01 - 0.001 0.001 - 0.0001 0.0001 Summarize your findings given f(x) = sin x lim sin x = X0- lim sin x = Therefore, lim sin x =

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: