Let * |2:2² –—– a²| x-a 3 1 2 Find the lim f(x) x-a- Find the lim x-a+ if x < a (x + a)² if x ≥ a explanation how you get your answer in each case. 3 f(x) = f(a) x-a 4 For what value(s) of a, lim f(x) = lim f(x) = f(a). x-a x→a 5 where a is some constant. Show all your work or give a brief 10 6

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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Question
Let
|22² − a²|
x-a
3
12
Find the lim f(x)
x-a-
Find the lim
x→a+
if x < a
(x + a)²
if x ≥ a
explanation how you get your answer in each case.
3
f(x) = f(a)
x-a
4
For what value(s) of a, lim f(x) = lim f(x) = f(a).
x-a
x→a
5
where a is some constant. Show all your work or give a brief
LO
6
Transcribed Image Text:Let |22² − a²| x-a 3 12 Find the lim f(x) x-a- Find the lim x→a+ if x < a (x + a)² if x ≥ a explanation how you get your answer in each case. 3 f(x) = f(a) x-a 4 For what value(s) of a, lim f(x) = lim f(x) = f(a). x-a x→a 5 where a is some constant. Show all your work or give a brief LO 6
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