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# Formally lim ???? ???? ???? ( ???? ) = ???? means that given any ???? ???? ???? ???? > 0 , there exists ????

Formally $lim\mathrm{????}\to \mathrm{????}\mathrm{????}(\mathrm{????})=\mathrm{????}$ means that given any $\mathrm{????}\mathrm{????}\mathrm{????}\mathrm{????}>0,$ there exists $\mathrm{????}>0$ such that for all $\mathrm{????}\ne \mathrm{????},$ if $|\mathrm{????}-\mathrm{????}|<\mathrm{????},$ then $|\mathrm{????}(\mathrm{????})-\mathrm{????}|<\mathrm{????}\mathrm{????}\mathrm{????}\mathrm{????}.$When demonstrating that $lim\mathrm{????}\to 5\mathrm{????}2-10\mathrm{????}=-25$ with $\mathrm{????}\mathrm{????}\mathrm{????}\mathrm{????}=0\mathrm{.}7,$ find the largest number $\mathrm{????}$ such thatif $,0<|\mathrm{????}-5|<\mathrm{????},$ then $,|\mathrm{????}2-10\mathrm{????}+25|<0\mathrm{.}7.$$\mathrm{????}=$

## Formally lime f(x) = L means that given any > 0, there exists > 0 such that for all xc, if |xc|

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The concept you described is precisely the definition of the limit of a function The notation lim fx L means that for any positive value epsilon there ...### Get Instant Access to Expert-Tailored Solutions

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