Prove the statement using the ɛ, ô definition of a limit. lim x = a Given ɛ > 0, we need 8 ---Select--- such that if 0 < Jx - al < ---Select--- , then |x - al ---Select--- - definition of a limit, lim x = a. Choose 8 = ---Select--- - Then 0 < |x - al < 8 = |x - al < ---Select--- - By the

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

Prac. 9

Prove the statement using the ɛ, 8 definition of a limit.
lim x = a
such that if 0 < |x – al <
|x - al < ---Select---
Given ɛ > 0, we need &
definition of a limit, lim x = a.
--Select---
-Select---
then |x - a|
-Select--- -
Choose 8 =
--Select---
Then 0 < |x - a| < & =
. By the
Transcribed Image Text:Prove the statement using the ɛ, 8 definition of a limit. lim x = a such that if 0 < |x – al < |x - al < ---Select--- Given ɛ > 0, we need & definition of a limit, lim x = a. --Select--- -Select--- then |x - a| -Select--- - Choose 8 = --Select--- Then 0 < |x - a| < & = . By the
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