Q2: (a) In Euclidean metric space (R, 1. 1),if A = {y € R: y = 2 cos (2x); x € R} then fined the following A,A,A. (b) In Euclidean metric space (R2, |. ||),if A = {(x, y): x² + y² <1} determine if the set A is bounded or not bounded set in R². 8:52 حفلات

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A: According to guidelines I solve first 3 subparts so kindly request you to repost the remaining…

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A: As per guidelines we have to attempt 1st three parts

Q: Q2:(a) In Euclidean metric space (R, 1. 1),if A = {y € R: y = 2 cos (2x); x € R} then fined the…

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Q: Lemma 2.56 Let (X,T) be a topological space, (M, d) be a complete metric space and BC(X, M) := {f e…

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A: Thanks for the question :)And your upvote will be really appreciable ;)

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Q: Q2:(a) In Euclidean metric space (R, 1. 1),if A = {y & R: y = []; x E R) then fined the following…

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Q: In Euclidean metric space (R, I. I), prove that (1+1)→ 1 as n → ∞o in R.

A: as per our company guideline we are supposed to answer only one qs kindly post remaining qs in next…

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A: For the solution follow the next step.

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Q: let (2, m) be a meesurable space. then 1f f9: x LJare measural ble function, then -> ) f43 is mea…

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Q: 4. Let X and Y be metric spaces and f : X → Y be continuous. Let SC X. Show: (b) If S is compact,…

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Q: Let (R, d) be discrete metric space, then R is not separ able O True O False

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