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

Chapter 1, Problem 43

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QUESTION:

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 \(x>N\)


\(\lim _{x \rightarrow+\infty} \frac{1}{x^{2}}=0 ; t=0.01\)

Equation Transcription:

Text Transcription:

epsilon

+ infinity

|f(x)-L| < epsilon

x > N

lim_x rightarrow + infinity 1/x^2 = 0; t = 0.01

Questions & Answers

QUESTION:

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 \(x>N\)


\(\lim _{x \rightarrow+\infty} \frac{1}{x^{2}}=0 ; t=0.01\)

Equation Transcription:

Text Transcription:

epsilon

+ infinity

|f(x)-L| < epsilon

x > N

lim_x rightarrow + infinity 1/x^2 = 0; t = 0.01

ANSWER:

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