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

prove that if [tex]lim_{x\rightarrow c}[/tex] f(x) = L, then there are positive numbers A and B such that if 0 < |x-c|< A, then |f(x)|< B

2. The attempt at a solution

i know it's something to do with the limit definition, where for [tex]\epsilon[/tex] > 0, there exists a [tex]\delta[/tex] > 0 such that 0 < |x-c| < [tex]\delta[/tex], then |f(x)-L| < [tex]\epsilon[/tex]

i don't know how to get my way through proving it!

please helpppp!

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# Homework Help: Limit theorems

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