Question: 1. (5 marks) Evaluate the following limits, making sure to justify your calculations as much as possible: x - 3 lim x-+3+ 3x2 - 5x

 1. (5 marks) Evaluate the following limits, making sure to justifyyour calculations as much as possible: x - 3 lim x-+3+ 3x2

- 5x - 12 x - 3 lim 24+3- 3x2 - 5x- 12 x - 3 lim 2-+3 3x2 - 5x - 12

1. (5 marks) Evaluate the following limits, making sure to justify your calculations as much as possible: x - 3 lim x-+3+ 3x2 - 5x - 12 x - 3 lim 24+3- 3x2 - 5x - 12 x - 3 lim 2-+3 3x2 - 5x - 12 2. (4 marks) Find the values of a and b that make f continuous at all points in its domain. For a complete solution, it is recommended to make explicit reference to the definition of continuity at a point in your work. b cos( 7x) - 2 f(I) = 322 - ax +6 1

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