4750 A positive number and the limitLof a function f at are given. Find a negative

Chapter 1, Problem 49

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A positive number $\epsilon$ and the limit L of a function f at $-\infty$ are given. Find a negative number N such that $|f(x)-L|<\epsilon$ if $x<N$

$\lim _{x \rightarrow-\infty} \frac{4 x-1}{2 x+5}=2 ; \epsilon=0.1$

Equation Transcription:

$\epsilon{}$

$-\infty{}$

$|f(x)-L|\ <\ \epsilon{}$

$x\ <\ N$

$\lim\limits_{x\rightarrow{}-\infty{}}\frac{4x-1}{2x+5}=2;\epsilon{}=0.1$

Text Transcription:

epsilon

- infinity

|f(x)-L| < epsilon

x < N

lim_x rightarrow - infinity 4x-1/2x+5 = 2; epsilon = 0.1

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