Please help me with these questions and show steps so I can understand, thank you so much.

y = g(x) Use it to state the values (if they exist) of the following: (a) lim g(x) x - 2 (b) n g(x) x - 2+ (C) lim g(x) (d) lim g(x) x - 57 (e) lim 1 9( x) x - 5+ ( f ) lim_g(x) x - 5 Solution Looking at the graph we see that the values of g(x) approach as x approaches 2 from the left, but they approach as x approaches 2 from the right. Therefore (a) lim g(x) = and (b) lim g(x) = - 2+ Since the left and right limits are different, we conclude that (c) the limit as x approaches 2 of g(x) does not exist. The graph also shows that (d) lim _g(x) = and (e) lim g(x) = - 5 - This time, the left and right limits are the same and so, by this theorem, we have (f) lim g(x) =The graphs of f and g are given. Use them to evaluate each limit, if it exists. (If an answer does not exist, enter DNE.) y = f(x) y = g(x) X X (a) lim [f(x) + g(x)] (b) lim [f(x) - g(x)] (c) lim [f(x)g(x)] x- -1 (d) lim F(x) x - 3 g (x ) (e) lim [x2f (x ) ] (f ) f(-1) + lim g(x) x - - 1y = 245 - 16t2. The deck of a bridge is suspended 245 feet above a river. If a pebble falls off the side of the bridge, the height, in feet, of the pebble above the water surface after t seconds is given by (a) Find the average velocity (in ft/s) of the pebble for the time period beginning when t = 2 and lasting the following amount of time. (i) 0.1 seconds x ft/s (ii) 0.05 seconds x ft/s (iii) 0.01 seconds x ft/s (b) Estimate the instantaneous velocity (in ft/s) of the pebble after 2 seconds. x ft/s