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Show that the following can be ordered from smallest to largest for all x > 1  . Describe the method you used and state the correct order.

 

\[1, x, \sqrt{x}, \frac{1}{x}, \frac{1}{\sqrt{x}}\]

 Feb 17, 2021
 #1
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Let  x    = 4

 

x  >   sqrt (x)           1/x  =    1/4             1/sqrt (x)   =   1/sqrt (4)   =1/2

4  >  sqrt (4)

4 >   2

 

So....from least to greatest  we  have

 

1/x  , 1/sqrt (x)  , 1 , sqrt (x)   ,  x

 

 

cool cool cool

 Feb 17, 2021

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