4346 A positive number and the limitLof a function f at+ are given. Find a positive

Chapter 1, Problem 46

(choose chapter or problem)

A positive number $\epsilon$ and the limit L of a function f at $+\infty$ are given. Find a positive 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; epsilon = 0.1

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