17. Let f be a uniformly continuous on S c DS), then which one of the following statements is true for the definition of the uniformly continuous? P(A)VI, ES and e>0, 36 > 0 > \f(x) – f(1,ke for |z – L.l< 8, 1 E D(S). (B) Ve > 0, 38 > 0 |S(x) S(1y)]< e for all z,y ES and |I -y|< O (C) Both (A) and (B) are true. O (D) None of these is false.
17. Let f be a uniformly continuous on S c DS), then which one of the following statements is true for the definition of the uniformly continuous? P(A)VI, ES and e>0, 36 > 0 > \f(x) – f(1,ke for |z – L.l< 8, 1 E D(S). (B) Ve > 0, 38 > 0 |S(x) S(1y)]< e for all z,y ES and |I -y|< O (C) Both (A) and (B) are true. O (D) None of these is false.
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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Transcribed Image Text:these statements are true.
17. Let f be a uniformly continuous on S c DJ), then which one of the following statements is true
for the definition of the uniformly continuous?
P(A)V, ES and e>0, 36 > 0 » \f(x) – f(1,lke for |r - I,l < 8, 1 € D(S).
(B) VE > 0, 38 > 0 > |S(x) - (y)|< e for all z, y E S and |I–y|<
O (C) Both (A) and (B) are true.
O (D) None of these is false.
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