1. (5 marks) Let the function f(x) be defined as follow: 1 f(x) = Is f(x)...

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1. (5 marks) Let the function f(x) be defined as follow: 1 f(x) = Is f(x) continuous at x = 2? Show your steps. 2. (5 marks) Answer: (a) Geometrically, what does lim h0 Y f(x+h) X f(x) 2 x tangent line at P X f(x+h)-f(x) h 4 - 1 4' " x = 2, x + h x = 2. secant line PQ represent? y = f(x) X (b) Suppose that f(x) = x + 1. Find the slope of the function at x = 3 using the result from (a). 1. (5 marks) Let the function f(x) be defined as follow: 1 f(x) = Is f(x) continuous at x = 2? Show your steps. 2. (5 marks) Answer: (a) Geometrically, what does lim h0 Y f(x+h) X f(x) 2 x tangent line at P X f(x+h)-f(x) h 4 - 1 4' " x = 2, x + h x = 2. secant line PQ represent? y = f(x) X (b) Suppose that f(x) = x + 1. Find the slope of the function at x = 3 using the result from (a).