1) Consider the piecewise linear function y = h (x) that is provided below. a. Use the graph to evaluate the one-sided limit lim h (x) . x4} 1+ b. State all values of a for which lim [1 (x) does not exist. Explain your reasoning for each value of a. X4) (1 c. State all values of a for which h is not continuous at x = a. Explain your reasoning for each value of a. HP 0 r I t I a! I 4 x - 2 - l 2 3 4 S 6 3 2 2) Evaluate the limit lim \"CHX\" , clearly showing your work. H 00 9x + 3x 5 . . 5 3 2 + 2 Then, explain what your result tells you about the functlon f (x) : %. x + x 3) On graph paper, sketch a function y = f (x) that is continuous at x = 5 , but the limit of the function at x = 5 does not exist. (Note: You shOuld not be trying to nd a formula for your function. Just draw one, being careful to follow the guidelines given for graphing a function.)