(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Given a function [tex]f:R\rightarrow R[/tex] and a number L,write down a definition of the statement

[tex]\lim_{x\rightarrow-\infty}f(x)=L[/tex]

3. The attempt at a solution

Is it just [tex]\lim_{x\rightarrow-\infty}f(x)=\lim_{x\rightarrow\infty}f(-x)[/tex] ?

and definition is

for [tex]\forall \epsilon>0[/tex] [tex]\exists N[/tex] such that [tex]\forall n>N[/tex]

we have [tex]|f(-x)-L|<\epsilon[/tex]

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# Definition of a Limit.

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