Question: Each limit represents a derivative f'(a). For each limit, what isf(x) and what isa?(A)limh0eh-1h,f(x)=a=(B)limh0sin(2+h)-1hf(x)=a=(C)limx21x+5-17x-2,f(x)=a=(D)limx1x2+x-2x-1,f(x)=a=Consider the function f(x)=1x.(A) Use the limit definition of the derivative to

Each limit represents a derivative f'(a). For each limit, what isf(x) and what isa?(A)limh0eh-1h,f(x)=a=(B)limh0sin(2+h)-1hf(x)=a=(C)limx21x+5-17x-2,f(x)=a=(D)limx1x2+x-2x-1,f(x)=a=Consider the function f(x)=1x.(A) Use the limit definition of the derivative to calculate f'(8).(B) Check your answer from above using the power rule to find f'(x) and then plugging inx=8to find f'(8).

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