Consider the following expressions as functions of a with domain equal to the open interval (0, 1) and codomain equal to R. Which one of these functions is bounded and attains an absolute maximum but does not attain an absolute minimum? sin(x) ○ cos(x) ○ 1/x

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the following expressions as functions of a with domain equal
to the open interval (0, 1) and codomain equal to R. Which one of these
functions is bounded and attains an absolute maximum but does not
attain an absolute minimum?
sin(x)
x²
O cos(T2)
○ 1/x
Transcribed Image Text:Consider the following expressions as functions of a with domain equal to the open interval (0, 1) and codomain equal to R. Which one of these functions is bounded and attains an absolute maximum but does not attain an absolute minimum? sin(x) x² O cos(T2) ○ 1/x
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