54. Let f:[0, 1]→ S¹ be defined as f(x) = 2nix. If Q denotes the set of rational numbers and S¹ is unit circle, then : (A) f([0, 1]Q) is closed subset of Sl (B) f([0, 1]Q) is an open subset of Sl (C) f([0, 1]Q) is dense in S¹ (D) f([0, 1]Q) is connected in S¹
54. Let f:[0, 1]→ S¹ be defined as f(x) = 2nix. If Q denotes the set of rational numbers and S¹ is unit circle, then : (A) f([0, 1]Q) is closed subset of Sl (B) f([0, 1]Q) is an open subset of Sl (C) f([0, 1]Q) is dense in S¹ (D) f([0, 1]Q) is connected in S¹
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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Subject-advance maths
![54. Let f: [0, 1]→S¹ be defined as
f(x) = 2nix.
e
If Q denotes the set of rational
numbers and S¹ is unit circle,
then :
(A) f([0, 1]Q) is closed subset
of Sl
(B) f([0, 1] Q) is an open subset
of S¹
(C) f([0, 1]Q) is dense in S1
(D) f([0, 1]Q) is connected in S¹
5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff7373726-0d35-46ca-aa27-97bcf9126f3a%2F3e035583-e3af-446b-9349-812f2eb2ae83%2Fgbfl6yd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:54. Let f: [0, 1]→S¹ be defined as
f(x) = 2nix.
e
If Q denotes the set of rational
numbers and S¹ is unit circle,
then :
(A) f([0, 1]Q) is closed subset
of Sl
(B) f([0, 1] Q) is an open subset
of S¹
(C) f([0, 1]Q) is dense in S1
(D) f([0, 1]Q) is connected in S¹
5
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