Question: Please answer all with full solutions!! It would be greatly appreciated! 1. (5 marks) Evaluate the following limits, making sure to justify your calculations as

Please answer all with full solutions!! It would be greatly appreciated!

1. (5 marks) Evaluate the following limits, making sure to justify your calculations as much as possible: I - 3 lim z-+3+ 312 -5x -12 - 3 lim 1++3-3x2 -5x - 12 x - 3 lim 1-43 312 - 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. bcos(x) - 2 f (z ) = 312 - ar+6 1

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