Show that lim (x³ - x) = 6 in the following steps. Do not use derivatives. x-2 (a) Show: if x - 2| < 1, then |x³ − x − 6| ≤ 18.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Chapter3: Straight Lines And Linear Functions
Section3.FR3: A Further Look: Secant Lines
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Show that lim (x³ - x) = 6 in the following steps. Do not use derivatives.
x-2
(a) Show: if | - 2| < 1, then |x³ – x − 6| ≤ 18.
Transcribed Image Text:Show that lim (x³ - x) = 6 in the following steps. Do not use derivatives. x-2 (a) Show: if | - 2| < 1, then |x³ – x − 6| ≤ 18.
(b) Now show, using part (a) and the - 6 - definition of the limit, that lim (x³ - x) = 6.
x-2
Transcribed Image Text:(b) Now show, using part (a) and the - 6 - definition of the limit, that lim (x³ - x) = 6. x-2
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