(i) Isolated points are {1+1/n}U{4-1/n}.
(ii) Boundary points are same as isolated points.
(iii) limit points are {1,4}.
(iv) S has no interior point.
uestion# 13. S-I +-:neMJ4-1. :ne N) Find: (i Isolated points of S: (ii) Boundary points of...
Ctr 6. (20 pts.) For each of the following sets, determine the interior points, the boundary points, the accumulation points and the isolated points.Also deter- mine whether the set is open, closed, or neither (Justify your answer). s= (10,3) n (1,41) u {-1,5}
Ctr 6. (20 pts.) For each of the following sets, determine the interior points, the boundary points, the accumulation points and the isolated points.Also deter- mine whether the set is open, closed, or neither (Justify your answer)....
Q1. Let S = {z € C: Im z = 1}. Find the interior points, exterior points, boundary points and accumulation points of S. Is Sopen? Is S closed? Justify your answer. Let D be a domain in C and f:D → S be a function such that f is analytic everywhere in D, prove that f is constant throughout D. Give an example of a sequence (2n) of distinct points in that converges to i.
1. Find the boundary and the interior for the following sets. Find the set of all accumulation points and the closure for the following sets. Classify each set as open, closed, or neither closed nor open. Use Heine-Borel theorem to determine whether it is a compact subset of R. A is closed/ open / neither closed nor open A is compact /not compact intB B is closed / open / neither closed nor open B is compact / not compact...
Question 47 (2 points) Which one of the following compounds is aromatic? S - II IV a) III Ob) Oc) II O d) IV Question 48 (2 points) Predict the product(s) for the following reaction: NaNH2, NH3 NH2 -NH₂ que "NH2 a) I, II and III b) I and II c) III and I d) II and III
Question 36 (2 points) Predict the major product(s) of the following reaction. Bra XX II Br CH2Br. CH,Br CH,BE Br IV Br a) Oь) и O civ d) I Question 37 (2 points) Identify one final major product in the following reaction sequence: CHCI AICI, CHNO c His Zn HCI CH &&9 NH NH NO, N a) II Ob) III OCI d) IV Question 38 (2 points) Predict the product(s) for the following reaction: a NH, Hạ NH NH TH...
For the following equations (i) Find the equilibrium points for any le(-00,00). (ii) Sketch the phase line diagram for the indicated. (iii) Find the bifurcation point and sketch the bifurcation diagram. (iv) State if the bifurcation is a saddle-node, transcritical, pitchfork, or none of these. (a) x' = x2 (1+ 24); 1=1, 1=-1.
1. Draw the given sets. Find their interior, exterior and boundary and also sketch them. Moreover, study whether these are open, closed, bounded and/or compact. (0) A = (3.7]{0,1} E R. (ii) B = {(x,y) ERO SysIn... ISIS 2). (iii) C = {(x,y) E R' + ly <l},
Problem #10: Which of the following sequences converge? (i) an (-1)n+1 n n2 - 7 (-1)" n2 n? - (iii) an = cos(NT) (iv) an= sin(nn) (ii) an= -9 (A) (i) only (B) (ii) only (C) (i) and (iv) only (D) (i) and (iii) only (E) (ii) and (iii) only (F) (ii) and (iv) only (G) all of them (H) none of them
Predict the product(s) of the following sequence NaNH HCI (1 equiv.) n-lodopropane 1 IT CI 다 III IV Select one: O a. II and IV O b. I and III O c. I and II O d. III and IV
Question 13 (2.5 points) Rank the following from most to least reactive towards electrophale substitution? bromobenzene nitrobenzene benze phenot I II III IV O IV, III, 1, 11 O III, IV, 1, 11 O II, IV, III, 1 IV, II, III, 1 Question 14 (2.5 points) Which of the following is the ester analog of an aldol reaction? aldol Robinson Claisen Michael