Math 124 Name ____________________#16 DIFFERENTIABILITY 2.61. Consider the function 24)2(22)(2xforxxforxxf(a) Graph this function as neatly and as accurately as possible.(b) Find hfhfh)2()2(lim0. SHOW ALL WORK.(c) Find hfhfh)2()2(lim0. SHOW ALL WORK.(d) What is the value of hfhfh)2()2(lim0 ?(e) What is )2(fdxd ? Explain your answer.(f) Is f continuous at x = 2?2. Consider the function 3/1)( xxg .Math 124 Name ____________________(a) Graph this function as neatly and as accurately as possible.(b) Use the power rule to find )0(g. SHOW ALL WORK.Use the graph of g(x) to explain why your answer is as it is.(c) Is g(x) continuous at x = 0?3. On the grid below, sketch any function that is not continuous at x = 2.Is your function differentiable at x = 2?
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