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05 (10 points) (a) Construct the precise definition of lim f(x) = L . x>oo (You should revisit the definition of lim f(x) =

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05 (10 points) (a) Construct the precise definition of " lim f(x) = L ". x>oo (You should revisit the definition of lim f(x) = L from Week 3 of class as xmo a model for your definition.) (b) Use this definition to prove that lim ex = 0. x>oo (Hint: You may use without proof that if a

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