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(a) For the limit limx →1 (x3 + x + 1) = 3, use a graph to find a value of δ that corresponds to ε = 0.4.
(b) By using a computer algebra system to solve the cubic equation x3 + x + 1 = 3 + ε, find the largest possible value of that works for any given ε > 0.
(c) Put ε = 0.4 in your answer to part (b) and compare with your answer to part (a). |
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