4. Given [2r + 5], if x < -1 4 - 2x f(1) = 1² – 2x' if - 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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![4. Given
[2r + 5],
if x < -1
4 - 2x
f(1) =
1² – 2x'
if - 1<x < 2 .
sin(x – 2)
if æ 22
2
a. Discuss the continuity of f at r = -1 and at x = 2. If discontinuous, classify the type of
discontinuity as removable, jump essential or infinite essential.
b. Determine if f is differentiable at r = 2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff4f8f58d-eb52-4ef1-ad38-58dfbe1c0c69%2F955a3f9c-21c2-44ae-81c2-33bce84b0624%2Fdcitgir_processed.png&w=3840&q=75)
Transcribed Image Text:4. Given
[2r + 5],
if x < -1
4 - 2x
f(1) =
1² – 2x'
if - 1<x < 2 .
sin(x – 2)
if æ 22
2
a. Discuss the continuity of f at r = -1 and at x = 2. If discontinuous, classify the type of
discontinuity as removable, jump essential or infinite essential.
b. Determine if f is differentiable at r = 2.
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