Explain why the function is discontinuous at the given number a. F(x) = { ex lim f(x) = X-0- lim f(x) = +0+x if x < 0 if x 20 Since these limits are a = 0 -Select--- ✓ " lim_ f(x) 0+X --Select--- and f is therefore discontinuous at 0.
Explain why the function is discontinuous at the given number a. F(x) = { ex lim f(x) = X-0- lim f(x) = +0+x if x < 0 if x 20 Since these limits are a = 0 -Select--- ✓ " lim_ f(x) 0+X --Select--- and f is therefore discontinuous at 0.
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
2.4 Q6

Transcribed Image Text:Explain why the function is discontinuous at the given number a.
F(x) = { ex
lim f(x) =
X-0-
lim f(x) =
+0+x
if x < 0
if x 20
Since these limits are
a = 0
-Select--- ✓
"
lim_ f(x)
0+X
--Select---
and f is therefore discontinuous at 0.
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