Example: Determine lim (x² + 1). 2-1 Graph: Guide questions: 1. How did you solve for the left-hand limit? 2. How did you solve for the right-hand limit? 3. Does the limit exist or not? Support your answer. Left-hand Limit: lim_(x² + 1) = 2 Right-hand Limit: lim (x² + 1) = 2 Therefore, lim (x² + 1) = 2 1

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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Example: Determine lim, (x² + 1).
2--1
Graph:
Guide questions:
1. How did you solve for the left-hand limit?
2. How did you solve for the right-hand limit?
3. Does the limit exist or not? Support your answer.
Left-hand Limit:
_lim_(x² + 1) = 2
Right-hand Limit:
lim (x²+1)=2
x--1+
Therefore, lim (x² + 1) = 2
Transcribed Image Text:Example: Determine lim, (x² + 1). 2--1 Graph: Guide questions: 1. How did you solve for the left-hand limit? 2. How did you solve for the right-hand limit? 3. Does the limit exist or not? Support your answer. Left-hand Limit: _lim_(x² + 1) = 2 Right-hand Limit: lim (x²+1)=2 x--1+ Therefore, lim (x² + 1) = 2
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