For the function g(x) shown below, compute the following limits or state that they do not exist. 0 if x - 2 g(x)=4-xif-2 X-3 Compute the values of f(x)= (x-1)2 1.001 1.0001 0.999 0.9999 in the table to the right and use them to determine lim f(x). (Type integers or decimals.) Determine lim f(x) using these table values. x-1 lim f(x)=(Simplify your answer.) x-1 x-1 X f(x) f(x) 1.1 0.9 1.01 0.99 1.001 0.999 1.0001 0.9999 The function f in the figure satisfies lim f(x)=6. Determine the largest value of 8>0 satisfying each statement. a. If 0 Classify the discontinuities in the function h(x) = The function has x3 - 5x + +6x x(x-7) at x = 0 and at the points x = 0 and x = 7. at x = 7. Use the graph of g in the figure to evaluate the function or analyze the limit. a. g(1) b. lim g(x) c. lim g(x) x-1 f. lim g(x) X-2 X-1 d. lim g(x) e. g(2) X-1 g. lim g(x) h. g(3) i. lim g(x) x-2* X-3- j. lim g(x) k. lim g(x) X-3+ X-3 4 y= g(x) 2- 2