Calculus 1 to 5 full answer, please.

5x - 1 lim 1. Determine *+4 X if it exists. lim (6x - x?) 2. Determine x- -5 , if it exists. lim ~4x + x 3. Determine x-4 lim J(x) - 3x lim Ax) = 1 X40 4. Determine, using the properties of limits, *+0 /(x) + x2 given 5. A man drops a penny from the top of a 500 m tall building. After / seconds, the penny has fallen a distance of s metres, where s() = 500 - 5/2, 0 St $ 10 a. Determine the average velocity between 1 s and 5 s. b. Determine the average velocity between 5 s and 9 s. c. Determine the velocity at t = 5