sin() .. Consider the function f(r) (a) Fill in the following table of values for f(r): -0.1 -0.01 -0.001 -0.0001 0.0001 0.001 0.01 0.1 f(z) = (b) Based on your table of values, what would you expect...

I have tried this problem many times now. How do i do the problem?

Extracted text: sin() .. Consider the function f(r) (a) Fill in the following table of values for f(r): -0.1 -0.01 -0.001 -0.0001 0.0001 0.001 0.01 0.1 f(z) = (b) Based on your table of values, what would you expect the limit of f(r) as r approaches zero to be? sin(ar) lim z 10 (c) Graph the function to see if it is consistent with your answers to parts (a) and (b). By graphing, find an interval for z 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?