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1a. Using the e − δ definition of continuity, show that the absolute value function f(x)...

1a. Using the e − δ definition of continuity, show that the absolute value function f(x) = |x| is continuous at every point a.

1b. Use the e−δ defintion of continuity to prove that any linear function f(x) = mx+b (with m, b constants) is continuous at every point a. (You should be able to find a formula for δ in terms of e, and the slope m.)

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