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Prove the Limit Statement
-Identify the Incorrect Statements About Limits ϵ\epsilon

question 161

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Prove the limit statement
-Identify the incorrect statements about limits.
I. The number L is the limit of f(x) as x approaches x0 if f(x) gets closer to L as x approaches x0.
II) The number L is the limit of f(x) as x approaches x0 if, for any ϵ\epsilon > 0, there corresponds a δ\delta > 0 such that f(x) L\mid f(x) - L \mid
< ϵ\epsilon whenever 0 < xx0\mid x - x_{0} \mid < δ\delta .
III) The number L is the limit of f(x) as x approaches x0 if, given any ϵ\epsilon > 0, there exists a value of x for which
f(x) L\mid f(x) - L\mid < ϵ\epsilon .

Understand the mechanisms for protecting intellectual property and their role in encouraging innovation.
Grasp the economic implications of innovation and diffusion in the marketplace.
Understand the distinction between invention, innovation, and diffusion.
Recognize examples of product and process innovation.

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