Question: Consider the function () = { 2 5+6/2 if < 2 3 if = 2 2 32/+2 if > 2 a. Evaluate the limits, lim

Consider the function () =

{ 25+6/2 if < 2

3 if = 2

232/+2 if > 2

a. Evaluate the limits, lim 2- () and lim2+ (), and state whether you use the quotient rule for limits.

b. Determine whether the function is continuous at = 2 and use the definition of continuity to justify your answer.

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