Find the infimum and supremum of each of the following sets. a) E = {x R
Question:
a) E = {x ∈ R : x2 + 2x = 3}
b) E = {x ∈ R : x2 - 2x + 3 > x2 and x > 0}
c) E = {p/q ∈ Q : p2 < 5q2 and p, q > 0}
d) E = {x ∈ R: x = 1 + (-l)n/n for n ∈ N}
e) E = {x ∈ R: x = l/n + (-1)n for n ∈ N}
f) E = {2-(-l)n/n2: n ∈ N}
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a Since x 2 2x 3 0 implies x 1 3 inf E 3 supE 1 b Since x 2 2x 3 x 2 implies x 32 inf E 0 ...View the full answer
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