2. Consider the following piecewise defined function: 2 ' c 1 Compute the one-sided limits lim f(x) and lim f(x). Does lim f(x) exist? If so, what is its value? I-+2- I -+ 2+ I-+2 Is f continuous at r = 2? Is it differentiable at r = 2? Justify your answers. Hint: for the last question, think about computing the derivative of f(x) at x = 2 from the left and from the right, and then compare the results. See example 5 in section 2.8 for some ideas. 3. Find an equation of the line tangent to the curve ery + cos(xy) = x2 + 2 at the point (v2, 0)