#1. ii. Thanks
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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#1. ii. Thanks.
Transcribed Image Text:f(a) = {
a sin ! r+0
i r= 0
1. Let
i Is f(x) continuous at 0? Justify
ii If f is discontinuous at 0, is the discontinuity removable or not? Justify
iii If the discontinuity of ƒ is removable, redefine f so that it's continuous at 0
iv Let f(x) = e=1/z² be defined on the domain {r : z + 0}.
- Find lim,0 e-1/2², if it exists.
Show that f can be defined at 0 in such a way that it is a continuous function on R
v Let f(æ) = sin , for # 0.
- Is f continuous at 0? Justify.
Can f be defined at 0 so that it's continuous on R? Justify
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