Question: 3. Given the limit statement lim (4 - 5x) = -11 x-3 (a) Write the inequalities f(x) - L| < & and |x -

3. Given the limit statement lim (4 - 5x) = -11 x-3 (a) Write the inequalities f(x) - L| < & and |x - a| < 8 as they pertain to this statement. (b) Illustrate the definition of limit by finding a number 8 that corresponds to = 0.06, repeat for = 0.0003. (c) Deduce a relationship between and 8 that would allow you to compute & for any . From that relationship, find 8 if is 1 micrometer.

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