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m Que.1 Answer the following multiple choice questions. 1. A function has a hole at x =3 . what can be said about the graph

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Que.1 Answer the following multiple choice questions. 1. A function has a hole at x =3 . what can be said about the graph of the function ? a. Jump discontuinity b. Infinite discontuinity c. Removable discontuinity d. Continuous graph 2. Which of the following functions is defined at x = 2, but is not differentiable at x = 2? Give reasons for your choice. Que.1[B] Do the following sums. 1. Use the first principals definition to differentiate the following functions. a. Y = 4x-1 b. F(x) = (x+3)(x -1) 2. Evaluate each limit, if it exists, and indicate the limit properties used. a. lim 3 x4 - 5x X-+2 b. lim(x - 3)(5x2 +2) X-+0 Que.2 Do the following sums. (T/1) 1. State the derivative of f(x) = 1/x. And evaluate f'(2/3) and determine the equation of the tangent at this point. 2. Use the first principles definition to differentiate h(x) = 11x? + 2x Que.3 Do the following sums.(C) 1. The general term of a particular infinite sequence is . a. Write the first six terms of the sequence. b. Explain why the limit of the sequence is 0. 2. Describe the types of discontinuities that a graph might have?what is the difference between avarage rate of change and instantaneous rate of change

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