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Please answer all, clear writing The number of marks for each question is indicated in brackets 1. Evaluate the limit, if it exists. aj x

Please answer all, clear writing

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The number of marks for each question is indicated in brackets 1. Evaluate the limit, if it exists. aj x + 3x lim 131-1- 12 bi (2 + h) - 8 lim vx- +9-5 lim 1+4 3x-+ 4x + 1 lim x+1 3. Explain why the function is discontinuous at the given number a. Sketch the graph of the function. if xx 1 f(x) if x - 1 Find the numbers at which f is discontinuous. At which of these numbers is f continuous from the right, from the left, or neither? Sketch the graph of f. f(x) - if x>4 7. . Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval. 2/x -x - vx. (2.3) b) sin x -r - x. (1.2)

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