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if xzo The function f(x) = { 1 + x² if aso a) belongs to ('(R) b) has a cusp the origin at the c) has a corner point at the origin d) is differentiable, with discontinuous derivative, at the e is discontinuous the ⇒ how I solved it: check for continuity lim flw 0) = 1 } continuous at o origin origin coslo) = 1, 1+ (0)² = 1 check for differentiability - sin(o) =0 differentiable at o 2(0)=0 So in my opinion its

if xzo The function f(x) = { 1 + x² if aso a) belongs to ('(R) b) has a cusp the origin at the c) has a corner point at the origin d) is differentiable, with discontinuous derivative, at the e is discontinuous the ⇒ how I solved it: check for continuity lim flw 0) = 1 } continuous at o origin origin coslo) = 1, 1+ (0)² = 1 check for differentiability - sin(o) =0 differentiable at o 2(0)=0 So in my opinion its

Advanced Engineering Mathematics
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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Is it A? If not please explain why using limits
x30 if cosa The function f(x) = { 1 + x² if x<o a) belongs to ('(R) bhas a cusp at the ⇒ how I solved it: check for continuity lim flow 1+ (0)² = 1 (0) = ! } continuous at o check for differentiability -Sin(0)=0 -sin(o) = 0 differentiable at o 2(0) = 0 So in my opinion its origin c) has a corner point at the origin d) is differentiable, with discontinuous derivative, at the origin e) is discontinuous at the origin
Transcribed Image Text:x30 if cosa The function f(x) = { 1 + x² if x<o a) belongs to ('(R) bhas a cusp at the ⇒ how I solved it: check for continuity lim flow 1+ (0)² = 1 (0) = ! } continuous at o check for differentiability -Sin(0)=0 -sin(o) = 0 differentiable at o 2(0) = 0 So in my opinion its origin c) has a corner point at the origin d) is differentiable, with discontinuous derivative, at the origin e) is discontinuous at the origin
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