A function fx a point c the limit of fx as x approaches c


A function f(x), a point c, the limit of f(x) as x approaches c, and a positive number ε are given. Find a number δ > 0 such that for all x, 0 < |x - c| < δ ⇒ |f(x) - L| < ε.

f(x) = - 2x - 6, L = - 12, c = 3, and ε = 0.01

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Mathematics: A function fx a point c the limit of fx as x approaches c
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