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4346 A positive number and the limitLof a function f at+ are given. Find a positive
Chapter 1, Problem 43(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 \(x>N\)
\(\lim _{x \rightarrow+\infty} \frac{1}{x^{2}}=0 ; t=0.01\)
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:
Step 1 of 3