5t3-2t2-t+1 b) t→∞ t2-2t3

Q: Provide a proof of the statement given below the figure. You may submit your proof in any format…

A: ABCD is a kite with  AB≅ AD          and  CB≅ CD We need to prove that : ∠B≅∠D

Q: Exercise 2.15. Construct uncountable sets A and B such that A\ B is: (A) finite (B) countably…

A: See the attachment

Q: 1 1 x +4 4 lim

A:

Q: 1. a) Domain: b) Range: c) Continuous:

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Sets, Relations and Functions 1. The sets R, S, and T are defined as follows. R = {x € Z]x is…

A: Try listing the elements in the R,S and T sets.

Q: 21.) lim √9th -3 h+o h

A: The given limit limn→09+n-3n

Q: help.

A:

Q: 1. Evaluate. a) lim b) lim x² + 9x-4 x²2x-8 x + 2

A: The solution is shown in step-2

Q: 7.) -2 (x-2)2

A: Topic = Limits

Q: Prove or Disprove: Va, b, c E N, if a | bc and c| ab then b lac. (Here | denotes divides.)

A: We will disprove the given statement by giving a counter example that is we will give values for a…

Q: 2. Prove Lemma: For all sets A, B, and C, A × (BNC) = (A × B) N (A × C)

A:

Q: d) Suppose X = {1,2, 3} and Y = {5,6}. The number of elements of the set P(X× Y) =

A: Elements in X = 3. Elements in Y = 2 Elements in X × Y = 3 × 2 = 6

Q: Evaluate N εν Σ √19 lim N→∞ N 19 19 19(1) - 2

A: limN→∞1N∑j=1N19-19jN2

Q: Evaluate: lim X→-3 O A) O OB) -co -8 O C) +00 X+3

A: We have,  Limit equation is given.

Q: Suppose A and B are nonvoid, bounded, disjoint subsets of R. Mark all of the properties that must be…

A: A and B are nonempty bounded disjoint subset of ℝ

Q: Exercise 1. Prove that for sets A, B,C we have C \(AUB) = (C\ A) N (C \ B).

A: We have to show that for sets A, B, C   C ∖(A∪B)=(C∖A)∩(C∖B).

Q: Given a finite set S, find all possible values of |S] so that the set {(a, b) | (a E S) A (b e S) ^…

A:

Q: Determine the real limits of the following numbers or intervals. a. 5.05 b. 43.2 - 45.1 C. 390.544 -…

A: Real limits for a ) ( 5.05-0.005)          Real limits is 5.005   b ) ( 43.2-0.05, 45.1+0.05)…

Q: (a) For all sets A, B, C, A × (BU C) = (A × B) U (A × C). (b) For all sets A and B, P(AUB) ≤ P(A)…

A:

Q: Answer selection  1) 2 2) the limit does not exist  3) 1.5 4) 1

A: