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Show that the function x+1//x is increas...

Show that the function `x+1//x` is increasing for `x >1` .

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Verified by Experts

Given,f(x)=`x+1//x`
`f'(x)=1-1/x^2`,
If` x∈[1,∞)`
then `1/x^2​∈(0,1]`
and `1−1/x^2​≥0`∀x∈[1,∞)
...
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