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Example of a Proof Framework

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Example of a Proof Framework. Theorem: If f and g are real valued functions of a real ... Let δ = _____ . Note that δ > 0. Let x be a number. Suppose that | x – a ...
Example of a Proof Framework Theorem: If f and g are real valued functions of a real variable continuous at a, then f + g is continuous at a. Proof: Let f and g be functions be real valued functions of a real variable and suppose they are continuous at a. Suppose  is a number > 0.

Let  = _____ . Note that  > 0. Let x be a number. Suppose that | x – a | <  . Then | f(x) + g(x) – ( f(a) + g(a) ) | =

. . .

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