Discuss whether the following functions are continuous at the specified point(s). sin(x) (a) f(x) = at x = 0. I (b) f(x) = x at r € (-1, 1). x+|x| (c) f(x) = 2 at x = (-1,1).

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Question 2
Discuss whether the following functions are continuous at the specified point(s).
sin(x)
(a) f(x) =
at x = 0.
I
(b) f(x) = r at x € (-1, 1).
x+|x|
(c) f(x) =
2
at x = (-1,1).
Transcribed Image Text:Question 2 Discuss whether the following functions are continuous at the specified point(s). sin(x) (a) f(x) = at x = 0. I (b) f(x) = r at x € (-1, 1). x+|x| (c) f(x) = 2 at x = (-1,1).
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