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I need to show that this pattern is true.
[itex]\sqrt{n+1} \approx \frac{n}{2} + 1 \ \ when \ n << 1[/itex]
the smaller 'n' is, the more this is true.
(i.e. for example, [itex]\sqrt{1.0000000000001234} \approx \frac{.0000000000001234}{2} + 1[/itex] )
Can anyone help?
(this is not a homework assignment. I need it for work)
Thanks.
[itex]\sqrt{n+1} \approx \frac{n}{2} + 1 \ \ when \ n << 1[/itex]
the smaller 'n' is, the more this is true.
(i.e. for example, [itex]\sqrt{1.0000000000001234} \approx \frac{.0000000000001234}{2} + 1[/itex] )
Can anyone help?
(this is not a homework assignment. I need it for work)
Thanks.
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