Given that lim F(x) = 0 lim g(x) = 0 lim h(x) = 1 Jim P(x) = lim (x) = .. evaluate the limits below where possible. (If a limit is indeterminate, enter INDETERMINATE.) (a) lim [fix)] lim [F(x)] X (c) lim [h(x)]04) 8 [(x)] X lim P(x)] 20 X (1) lim "P(x) X Enhanced Feedback Please try again, keeping in mind that the indeterminate cases are 0.9, 03.00,60,1", and " - .. Need Help? Read It Talk tea Tutor...
(1/x) does not exist but that lim cos(1/x) = 0 a) Prove that lim cos x-+0
(1/x) does not exist but that lim cos(1/x) = 0 a) Prove that lim cos x-+0
1 Given lim f(x) = 5, lim g(x) = -2, and lim h(x) = 0, evaluate the limit: lim x-c f(x) - 8(x) 1-C X- X-C 1 5 b) c) d) e) does not exist
Good Luck! Question 32 1 pts You invest $1,000 in a complete portfolio. The complete portfolio is composed of a risky asset with an expected rate of return of 16% and a standard deviation of 20% and a Treasury bill with a rate of return of 6% of your complete portfolio should be invested in the risky portfolio if your risk aversion is 4. 62.5% 37.5% 100% 50% • Previous Next
1. Suppose that lim x) = A, lim f(x) = B, 0) = C, where A, B, C are distinct real numbers. In each of the following, fill in the corresponding box by: • Expressing the limit in terms of A, B, C if it is possible to do so using the given information; • Writing DNE if it is possible to conclude that the limit does not exist using the given information; • Putting a X. otherwise. No explanation...
12) Let f(A) = x + 1 xxo 0 x=0 (ax+ 2 x>0 a) Find lim f(x). X-70 b) Find lim F(x). X70 c) Find lim f(x). 13) Let f(x) = x - x .O 12.1 x 0 a) Find lim f(x). 6) Find
Question 1. Calculate the following limits, justifying your answers carefully. 20 (a) lim 1+-2.13 + 5 32" - 5.6 + 6 (b) lim 1+-2.7" + 3.23 - 4.0 2.1 (c) lim 2+1 3.73 +3.02 - 2 sin(4.c) (d) lim 2+00.C +3) (Hints: for (b) and (c), denominators factorise; for part (d), you may use lim-0 sin x/x = 1.) [2 + 3 + 3 + 3 = 11 marks]
20 "a) Compare lim ( 1, (x)dx to lim fı (x)]dx where fı (x) = my b) Show that fn(x) = xe**** converges uniformly to f (x) on (-1,1] but limfn(x) = f'(x)
Given that lim f(x) = 3, lim g(x) = 0, and lim h(x) = 5, find the limits that exist. Enter DNE if the limit doesn't exist help (limits) (a) lim f(x) + h(x)] = 8 (b) lim{f(x)} = 9 (c) lim yh(x) = 5^(1/3) help (limits) !!! help (limits) help (limits) In help (limits) help (limits) f(3) (2) (9) lim !!! help (limits) 3-a g(x) 2f(x) !! help (limits) h(x) - f(x)
Question 9 Use L'Hopital's Rule to evaluate the limit. ex -x-1 lim 22 X -> 0 Upload Choose a File