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Mark all correct answers (there might be more than one answer that is correct). 0 Assume that (xis a sequence of real numbers and assume that .x →x. Then for every > 0 and for every NEN, there is kEN, k>N, such that n KE(NEN: x-x

Mark all correct answers (there might be more than one answer that is correct). 0 Assume that (xis a sequence of real numbers and assume that .x →x. Then for every > 0 and for every NEN, there is kEN, k>N, such that n KE(NEN: x-x

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Mark all correct answers (there might be more than one answer that is correct). Assume that (x is a sequence of real numbers and assume that x →x. Then for everyɛ >0 and for every NE N, there is kEN, k>N, such that {x} n KE {n=N: \x , - x | < e}. n Assume that x = 0 and x n n Suppose that x n For each x ER there is a sequence x n QUESTION 5 →x then →x and y Let a = n n X X n √√5" 5" + 7" + 11". Find lim a n If x →x and for all n E N, x <a then x <a. n n n→ ∞ X ►y and assume that, for all ʼn E N, x ≤ z ≤ y . Then z n n n n x EQ, for all ʼn E N, such that x →x. n n →X.
Transcribed Image Text:Mark all correct answers (there might be more than one answer that is correct). Assume that (x is a sequence of real numbers and assume that x →x. Then for everyɛ >0 and for every NE N, there is kEN, k>N, such that {x} n KE {n=N: \x , - x | < e}. n Assume that x = 0 and x n n Suppose that x n For each x ER there is a sequence x n QUESTION 5 →x then →x and y Let a = n n X X n √√5" 5" + 7" + 11". Find lim a n If x →x and for all n E N, x <a then x <a. n n n→ ∞ X ►y and assume that, for all ʼn E N, x ≤ z ≤ y . Then z n n n n x EQ, for all ʼn E N, such that x →x. n n →X.
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