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Which of the following statements is/are TRUE? I. Periodic function is a function that repeat its pattern at some period. A periodic function II. III. f(x)= x+1, is an odd function. Given a periodic function -x+1, f(x) = x+1, O II and III OI and III -1

Which of the following statements is/are TRUE? I. Periodic function is a function that repeat its pattern at some period. A periodic function II. III. f(x)= x+1, is an odd function. Given a periodic function -x+1, f(x) = x+1, O II and III OI and III -1

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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Which of the following statements is/are TRUE? I. Periodic function is a function that repeat its pattern at some period. A periodic function (1, II. -1<x<0 f(x)= x+1, 0<x< 1 f(x+2) is an odd function. III. Given a periodic function |-x+1, −1<x<0 f(x)= x+1, 0<x<1 f(x + B) Therefore 3=-2. IV. A function f(x)= 3x³ + x sin" (3x) is an odd function if ʼn is an even number. II and III I and III II and IV I and IV
Transcribed Image Text:Which of the following statements is/are TRUE? I. Periodic function is a function that repeat its pattern at some period. A periodic function (1, II. -1<x<0 f(x)= x+1, 0<x< 1 f(x+2) is an odd function. III. Given a periodic function |-x+1, −1<x<0 f(x)= x+1, 0<x<1 f(x + B) Therefore 3=-2. IV. A function f(x)= 3x³ + x sin" (3x) is an odd function if ʼn is an even number. II and III I and III II and IV I and IV
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