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1. Evaluate the following limits. rks) (a) lim 3x2 + 8x +5 arks) (b ) x -1 x2 - 2x - 3 lim 22+ 15x + 7 C--2- x + 2 larks) (c) lim 24 + 212 - 3 1 700 34 + 4x + 2 2. Use the limit definition of the derivative to find the following. marks) (a) Given f(x) = 1, find f'(x). marks) (b) Given f(a) = 0 and f'(a) = 5, find 2 f ( ath) lim 3h 3. Find the derivative of the following functions. Show all of your work, and do not simplify. (3 marks) (a f(x) = In(22 + 1) (3 marks) (b) 9(x) = V1+Vx