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exist, enter DNE.) A graph of y = f(x) is shown and a c-value is given. Use the graph to find the following, whenever they exist. (If the limit is infinite, enter 'c.' or '-c', as appropriate. If the limit does not otherwise C = -5 10- 5 y = f(x) -10 -5 X 5 10 -5 - 10 (a) lim f(x) X -c (b) f (c)During an 8-hour shift, the rate of change of productivity (in units per hour) of infant activity centers assembled after t hours on the job is represented by the following. (Round your answers to two decimal places.) r(t) = _ 128(tz + 7t) Osts 8 (t2 + 8t + 11)2 (a) Find lim r(t). t - 4 units/hr (b) Find lim r(t). t - 8 units/hr (c) Is the rate of productivity higher near the lunch break (at t = 4) or near quitting time (at t = 8)? O Productivity is higher near the lunch break. O Productivity is higher near quitting time. O Productivity is the same at both times.A graph of y = f(x) is shown and a c-value is given. Use the graph to find the following, whenever they exist. (If the limit is infinite, enter 'c' or '-co', as appropriate. If the limit does not otherwise exist, enter DNE.) c = 20 y y = f(x) 20 10 X -10 10 20 30 -10 (a) lim f(x) X-c (b) F(c)Use the graph of y = f(x) and the given c-value to find the following, whenever they exist. (If the limit is infinite, enter '' or '-co', as appropriate. If the limit does not otherwise exist, enter DNE.) C = -45 3 X -9 -6 -3 3 y = f(x) 3 -6 (a) lim f(x) X-c (b) lim f(x) x-ct (c) lim f(x) X-CComplete the table and predict the limit, if it exists. (Round your answers to four decimal places. If the limit is infinite, enter '' or '-', as appropriate. If the limit does not otherwise exist, enter DNE.) 5x + 1 f(x) = 1 25 X f ( x ) -0.21 -0.201 -0.2001 -0.1999 -0.199 -0.19 lim f(x) = X- -0.2The total revenue for a product is given by R(x) = 1800x - x2 where x is the number of units sold. What is lim R(x)? x - 240Use properties of limits and algebraic methods to find the limit, if it exists. (IF the limit is infinite, enter 'oo' or '-oa', as appropriate. If the limit does not otherwise exist, enter DHE.) x2 - 36 lirn xu6 x+ 6 Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is infinite, enter 'oo' or '-oo', as appropriate. If the limit does not otherwise exist, enter DNE.) 9x2 - 90x Iim 1H 10 x2 - 1m) Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is infinite, enter '' or '-co', as appropriate. If the limit does not otherwise exist, enter DNE.) lim 7 (x + h) 2 - 7x2 h- 0 hUse properties of limits and algebraic methods to find the limit, if it exists. lim 4 ( x + h)