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2. [6 points] Determine whether or not the function is continuous at x = 1 x3 x+x-1 x-1 f(x) = 2, 1-x x <1

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2. [6 points] Determine whether or not the function is continuous at x = 1 x3 x+x-1 x-1 f(x) = 2, 1-x x 1. 3. [5 points] Show that the equation 6* - 5x + e* - 7 = 0 has at least one solution. 4. [2+3=5 points] Evaluate the following limits. No points will be given if L'Hopital's rule is used: (a) lim 2x+12 x-6x+6 (b) lim 2- |x| x+7-9-4x

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