1) Given language L = {a"62"n >0} a) Give an informal english description of a PDA for L b) Give a PDA for L
Prove the statement using the ε, δ definition of a limit. Prove the statement using the ε, definition of a limit. lim x → 1 6 + 4x 5 = 2 Given a > 0, we need ---Select--- such that if 0 < 1x – 1< 8, then 6 + 4x 5 2. ---Select--- But 6 + 4x 5 21 < E 4x - 4 5 <E |x – 1< E = [X – 1] < ---Select--- So if we...
Are the following sequences well ordered as ε → 0? If not, arrange them so that they are: (b) Φ1=ε^5e^-3/ε, Φ2=ε, Φ3=εln(ε), Φ4=e^-ε, Φ5=(1/ε)sin(ε^3), Φ6=1/ln(ε) (c) Φ1=e^ε-1-ε, Φ2=e^ε-1, Φ3=e^ε, Φ4=e^ε-1-ε-(1/2)ε^2 PLEASE ANSWER PARTS B & C (primarily part b). I know they are not well ordered, but I'm not sure how to order them. Thanks! 1. Are the following sequences well ordered as e -> 0? If not, arrange them so that they are. [sinh(e/2)]2n for n = 0,1,2, 3,.....
Will give thumbs up! limx40 sin(4.c) cos(3.c) tan 2x = ? limo–0 2–1 eX – 1 = ? lim.c10+ x ln x : ? S-|(10x4 + 1) dx = ?
(a) Show that for > 0, the first integral equals: 0 n-0 (b) Show that 1) n=0 defines a continuous function on Ω :-R\{0,-1,-2,-3, . . . } [Hint: consider the domain R\ U000 (-n-e,-n + ε) for any small ε > 0.] (a) Show that for > 0, the first integral equals: 0 n-0 (b) Show that 1) n=0 defines a continuous function on Ω :-R\{0,-1,-2,-3, . . . } [Hint: consider the domain R\ U000 (-n-e,-n + ε)...
Let M = {0} and N = Ø and L = {ε, 1} be the languages over {0,1}. Which of the following represents the language NN*M ? {0} {0}* {ε} None of the above
Exercise 1 Consider the initial-value problem y(t)=1+3940), 25t<3; y(2) = 0. a) Show that the problem has a unique solution. b) Compute (by hand) an approximation of y(3) using the forward Euler method with a step size h = 0.5 (namely perform 2 steps of the method).
6. Let si = 4 and sn +1 (sn +-) for n > 0. Prove lim n→oo sn exists and find limn-oo Sn. (Hint: First use induction to show sn 2 2 and the.show (sn) is decreasing)
Show that if 0 < μ < 2-r has a unique relative extreme (max) value for x in (0,1)
5. Consider the language L = {1'0/1k e {0,1}* |i >01) >0 Ak = i*j}; to show that Lis! not a regular language using pumping lemma, the correct choice for the word is: a. 10011 x=1- b. 1POP 1P Z=1 Le 1290? 12p* Z=1P OPS 2P Y-101 YEK d. 10P1P y=1" t:P