Prove, using the e-d definition of limit, that: (a) lim x² + 1 = 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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Transcribed Image Text:- Prove, using the e-6 definition of limit, that:
(a)
(b)
- Let
lim x² + 1 = 2
24-1
lim x³ + x² + x + 1 = 4.
(1 if a is rational,
if x is irrational.
Prove that lima f(x) does not exist for any a E R.
f(x) =
10
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