Exercises 61-66, you will further explore finding deltas graphically. Use a CAS to perform the following steps:
a. Plot the function y = f(x) near the point xo being approached.
b. Guess the value of the limit L and then evaluate the limit symbolically to see if you guessed correctly. c. Using the value e = 0.2, graph the banding lines and
together with the function f near
d. From your graph in part (c), estimate a such that for all x
Test your estimate by plotting For your viewing window use
If any
function values lie outside the interval your choice of
was too large. Try again with a smaller estimate.
e. Repeat parts (c) and (d) successively for e = 0.1, 0.05, and 0.001.
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