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QUESTION
PROBLEM: WITHOUT ANY DERIVATIVES, evaluate: {f(x)-f(2)}/(x-2) for the function f(x)= 1 / (x-1).
PROBLEM: WITHOUT ANY DERIVATIVES, evaluate: {f(x)-f(2)}/(x-2) for the function f(x)= 1 /√ (x-1).
1.x-1 Consider the function f ( x ) = To find f ( 2 ) , replace x by 2 in the function f ( x ) =f ( 2) = 1x-1 12- 1 =1Hence,1-1f ( x ) - f ( 2)x-1=x- 2x- 2= = = = 1- x-1 ( x - 2) ( 1-...