Problem

Exercises 61-66, you will further explore finding deltas graphically. Use a CAS to perfo...

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 over the interval For your viewing window use If any

function values lie outside the interval 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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