Question: 1. If x + 1 x f(x) ex-x for x 1 then find lim f(x). 2. Let y = f(x) = 1 x(1-x) 00+x

1. If x + 1 x f(x) ex-x for x 1 then find lim f(x). 2. Let y = f(x) = 1 x(1-x) 00+x (a) Use the limit definition of the derivative to find f'(x). (b) Find the equation of the tangent line to the curve y = f(x) at x = 1.

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