Examples. Justify your answers briefly. (a) There is a function f: RR so that f(-1) = −1 and f(1) = 1, but so that f is never 0. What else can you say about f? (d) Give an example of a subset of R2 that is neither open nor closed.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Examples. Justify your answers briefly.
=
(a) There is a function f : R → R so that f(-1) = -1 and f(1) =
that f is never 0. What else can you say about f?
(d) Give an example of a subset of R2 that is neither open nor closed.
= 1, but so
Transcribed Image Text:Examples. Justify your answers briefly. = (a) There is a function f : R → R so that f(-1) = -1 and f(1) = that f is never 0. What else can you say about f? (d) Give an example of a subset of R2 that is neither open nor closed. = 1, but so
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a) There is a function f: so that f-1=-1 and f1=1, but so that f is never 0.

d) We have to find a subset of 2 that is neither open nor closed.

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