6. Let f: [0, 0o) → R,f(x) =Jsin ¹, x > 0,a,x = 0,Prove that f is discontinuous at 0 for any a E R. [Hint: Find sequences {n}x_1{n} such that {f(n)}1 and {f(yn)}1 do not have the same limit.]and

Answered: Image /qna-images/answer/93ebd212-3426-491e-b81e-91bca66d5ae2.jpg

Answered: 6. Let f [0, ∞) → R, : f(x) = Jsin ¹, x…

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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6. Let f [0, ∞) → R, : f(x) = Jsin ¹, x > 0, a, x = 0, Prove that f is discontinuous at 0 for any a € R. [Hint: Find sequences {n} and {n}1 such that {f(n)}1 and {f(yn)}1 do not have the same limit.]