Please write neatly

For full credit, ensure you show all your work and explain your reasoning. Simply stating the final answer for any of the following questions will not result in full credit. 1. (3 marks) Evaluate the limit V2e2: + 1 lim f(x) = 3ex - 5 2. (4 marks) For a particular function g, we know g'(8) = 4 and g(8) = -5. Write an equation for the tangent to g at x = 8. 3. (3 marks) Determine whether the derivative of the following function exists at x = 0. f (I) =1 0 x2 sin(1/x) ifx # 0 if x = 0 Justify your answer using the definition of the derivative