y 4 3 2 O 1 -4 -2 - 1 1 2 3 4. D 6 7 8 9 -1 . lim f() lim f (x) (t) lim f (x) (a) +-3 (g) +0 lim f (x) (b) +-3+ (h) 1+0+ lim f (1) limf (1) (c) 17-3 (i) 2-0 lim f (x) (d) () 1-2- limf () lim f (x) (e) 16-27 (k) 1+2+ lim f (x) (1) 2+2 lim f(x) (m) +4- lim f (0) lim f(x) (s)...
Consider the following lim 6 8 4 2 2 4 8 10 -2 -3 -10 Use the graph to find the limit (if it exists). (If an answer does not exist, enter DNE.)
Question 86 - 100: Look at the graph of function f(r) . A -5 -1 3 5 7 9 11 1--1 86. lim f(x) = 87. lim f() = 88. Is f(x) continuous at I = 1? 89. Is f(x) continuous at x = 0? 90. Is f(x) continuous at x = - 3 from the left hand side ? 91. limf() = 92. Does limf (x) exist ? 93. Is f(x) continuous at I = 8? 94. Is f()...
1-4,13,15 ,16 have been answered but i keep getting the wrong calculations for 5-11 and 19-22 (incorrect) 6. (1 point) graph The graphs of f(x} and g(x) uate each quantity below. Write DNE if the limit or value does not exist (or if it's infinity). given above. Use them to eval- are click page 1. f(2)g(2) 2 lim If(x)g{x)}] 3-2 3. f(3)+g(3) A. lim f(x)+g()} x-3 5 lim If(x)/s(x)] -3 6 lim If(g(x)}] -2 7. lim f(x)/g(x}] -2 8. lim...
(a) Let Ω = [4, 101 and let A = 16, 6], [8, 10]} 2. (i) Find F(A) (ii) Let X : 2->R be defined by X = 2-1[4,5]-3 . 1 (6,8) Is X, F(A)-measurable? Justify your answer. (b) Let (2, F) be a measurable space, and let X :2-R. Suppose that X+ is F-measurable. Does this imply that X is F-measurable? Either prove it or give a counterexample. (a) Let Ω = [4, 101 and let A = 16,...
Consider the following information. 8 limf(x) = 7 6 lim g(x) Use the information to evaluate the limits. lim[4} (x)] (a) limf (x) +g(r)] (b) lim(x) g(x)] lim (d)
22 points possible 7/22 answered Question 14 < > ✓-4-2 +4 if << -5 Let f(2)= if x = -5 3x + 20 if 2> - 5 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(a) I-5 lim 2-5 lim f(x) = > Next Question 21 MacBook Air
4. Pakistan's population was 185 million in 2010 and has been growing by 2.2% per year. Create an exponential for Pakistan's population t years after 2010 il. b. Estimate when Pakistan will have 250 million people. 5. If M(t) is the population of Mathistan, in millions, t years after 2000, interpret the following: (2 points each) a. M(9) 20 b. M'(9) = 0.12 6. Find the following values for the graph below: limf(x) = lim f(x) = f(1) = lim...
Real analysis 10 11 12 13 please (r 2 4.1 Limit of Function 129 se f: E → R, p is a limit point of E, and limf(x)-L. Prove that lim)ILI. h If, in addition, )o for all x E E, prove that lim b. Prove that lim (f(x))"-L" for each n E N. ethe limit theorems, examples, and previous exercises to find each of the following limits. State which theo- rems, examples, or exercises are used in each case....
Use the graph of f(x) below, answer each of the following questions. If the limit does not exist, write DNE: 4 3 2. 1 -5 -2 1 2 3 4 5 1 -2 -3 -4 f(5) = f(-4) = lim f(x) = 2-75- lim f(x) = x~ lim f(x) = 27-4- lim f(x) = I 27-4 27-2 lim f() = At what values of x is f(x) discontinuous? Give the intervals on which f(x) is continuous.