12. The function f : [0, 2] → R is continuous on the interval [0, 1] and continuous on the interval [1, 2] if and only if it is continuous on [0, 2]. 13 and f(2) = 13. If the function f: [0,2] → R satisfies f(0) -26 then the function g(x) = cannot be continuous on [0, 2]. x-1

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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12. The function f : [0, 2] –→ R is continuous on the interval [0, 1]
and continuous on the interval 1, 2| if and only if it is continuous
on [0, 2].
13. If the function f : [0,2] → R satisfies f(0) = 13 and f(2) =
-26 then the function g(x) =
cannot be continuous on |0, 2|.
f(x)
Transcribed Image Text:12. The function f : [0, 2] –→ R is continuous on the interval [0, 1] and continuous on the interval 1, 2| if and only if it is continuous on [0, 2]. 13. If the function f : [0,2] → R satisfies f(0) = 13 and f(2) = -26 then the function g(x) = cannot be continuous on |0, 2|. f(x)
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