Is the function given by f(x) = continuous at x = 5? Why or why not?...
For Exercises 21 and 22, consider the function f given by 5x – 2, for x S 3, f(x) 1x - 1, for x > 3. у 5 4 3 N -1 -5-4-3-2-1 -1 1 2 3 4 5 х -4 If a limit does not exist, state that fact. 21. Find (a) lim -f(x); (b) lim+f(x); (c) lim f(x). 22. Find (a) lim-f(x); (b) lim-f(x); (e) lim f(x). 23
ty f) -1 0 2 The above diagram is a plot of a function f(x) Is f(x) continuous at 0 and why? Choose the best response below: Yes, the function is continous at x=0, as it has a two-sided limit as x approaches 0, which is equal to f(0) itself No, because the function does not have a two-sided limit as x approaches 0 No, because the function is not defined at x0. No, because the limit of the function...
Choose the correct graph below. Graph the given function and then find the specified limits. If necessary, state that the limit does not sign exist ndy 0(x)x2-3: lim (x) and lim ox) ОА OB X-3 der Select the correct choice below and, if necessary, fit in the answer box to complete your choice -TO 10 OA L lim ) (Simplify your answer.) 20 ar OB. The limit does not exist ss Select the correct choice below and, if necessary, fill...
Determine lim f(x) and lim f(x) for the following function. Then give the horizontal asymptotes of f, if any. 2x 12x + 2 Evaluate lim f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. X100 OA. lim X-00 2x 12x + 2 (Simplify your answer.) OB. The limit does not exist and is neither oo nor - 00. Evaluate lim f(x). Select the correct choice below and, if necessary, fill in...
For what value of a is the given function continuous everywhere? ( as + 2, a < 3 f(x) = 3 ( 22 - aa - 3, a > -3 و به اجب ده انا و
For the function shown in the graph, find the indicated function value and limit. Find f(2) and lim f(x). O A. 1;3 OB. 1; does not exist OC. 1:1 OD. Does not exist does not exist For the function shown in the graph, find the indicated function value and limit. Find f(2) and lim f(x). X2 10 -10-8 -4.53 12 4 6 8 10
For the function shown in the graph, find the indicated function value and limit. Find f(2) and lim f(x). O A. Does not exist; does not exist OB. 1:1 OC. 1:4 OD. 1; does not exist
Determine lim f(x) and lim f(x) for the following function. Then give the horizontal asymptotes of f (if any). X00 X-20 f(x) = 40x + 2x2 17XS - 3X O A. lim f(x) = X>00 (Simplify your answer.) OB. The limit does not exist and is neither o nor -0. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. lim f(x)= X-00 (Simplify your answer.) OB. The limit does not exist...
Suppose that the piecewise function J is defined by f(2)= {**** -1<<3 - 3x2 + 2x + 23, 2> 3 Determine which of the following statements are true. Select the correct answer below: O f() is not continuous at I = 3 because it is not defined at I = 3. Of() is not continuous at 2 = 3 because lim f(x) does not exist. f() is not continuous at I = 3 because lim f() f(3). ->3 f(x) is...
The graph of the function fis shown in the accompanying figure. (a) is f continuous at x = O No Why or why not? (Select all that apply.) Fa) is not defined lim Fx) - Fla) Olim Rx) does not exist limFX) exists There is a corner at x = pa) is defined Fx) exists F"(x) does not exist (b) is f differentiable at x = a? Justify your answer. (Select all that apply.) lim, Fx) exists lim FX) does...