Proof with limit definition that: limx→1/2 (1/x)=2
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Proof with limit definition that:
limx→1/2 (1/x)=2
I have the following:
Given ε>0. choose δ=?
Suppose : 0<|x-(1/2)|<δ
check: |(1/x)-2|
from here I do not know how to get |x-(1/2)| from |(1/x)-2| in order to find δ?
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I have seen clips on youtube where they get a common factor out of |(1/x)-2| to get |x-(1/2)| and from there decide δ, is that maybe possible with my question.
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