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Question 6. [20 marks] Consider the function f(x) = . This function is continuous at x = -1, and f (-1) = 1. By definition, this means that for any > 0 there exists > 0 such that, for all x: |x + 1| < ,|f(x) - 1| < . We choose = 1. Which can we take to satisfy the definition? Justify your answer.
(a) = 0.28
(b) = 1.96
(c) =  
(d) = 1

 

 

 

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