Let g(x) 2x 3 12x 2 26x 4 and note that For each value of , use a graphing utility to find all values of 0 such that g(x) 24 whenever 0 x 2 Sketch graphs illustrating your work a 1 b 0 5 24 lim g(x)

Question: Let g(x) = 2x 3 - 12x 2 + 26x + 4 and note that For each value of , use a graphing utility to

Let g(x) = 2x³ - 12x² + 26x + 4 and note that For each value of ε, use a graphing utility to find all values of δ > 0 such that |g(x) - 24| < ε whenever 0 < |x - 2| < δ. Sketch graphs illustrating your work.

a. ε = 1

b. ε = 0.5

24. lim g(x)

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