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number o such that if 0< x-1.5 <8 then x² 1 1.5²

number o such that if 0< x-1.5 <8 then x² 1 1.5²

Advanced Engineering Mathematics
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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Find the largest number & such that if 0x 1.5 <8 then 1 x² 1 1.5² < 1.
Transcribed Image Text:Find the largest number & such that if 0x 1.5 <8 then 1 x² 1 1.5² < 1.
Expert Solution
Step 1

We have to find largest δ such that

if 0<x-1.5<δ then 1x2-11.52<1

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