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CONTINUITY AND DISCONTINUITY OF FUNCTIONS Instructions: Answer this set together with your groupmates. Show all pertinent solutions/workings, when required, and box final answers. Every item without supporting solutions will merit a score of zero even if the final answer is correct. For each item, do the following: a. Find the possible points of discontinuity (PPD) of f b. Discuss the continuity of f at the PPD. Redefine the function in case of removable discontinuity. sin² 2x , if x < 0 2x2 2. g(x) = {2 12х — 3 if 0

CONTINUITY AND DISCONTINUITY OF FUNCTIONS Instructions: Answer this set together with your groupmates. Show all pertinent solutions/workings, when required, and box final answers. Every item without supporting solutions will merit a score of zero even if the final answer is correct. For each item, do the following: a. Find the possible points of discontinuity (PPD) of f b. Discuss the continuity of f at the PPD. Redefine the function in case of removable discontinuity. sin² 2x , if x < 0 2x2 2. g(x) = {2 12х — 3 if 0

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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CONTINUITY AND DISCONTINUITY OF FUNCTIONS Instructions: Answer this set together with your groupmates. Show all pertinent solutions/workings, when required, and box final answers. Every item without supporting solutions will merit a score of zero even if the final answer is correct. For each item, do the following: a. Find the possible points of discontinuity (PPD) of f b. Discuss the continuity of f at the PPD. Redefine the function in case of removable discontinuity. sin? 2x if x < 0 2x2 2х— 3 3 x – 1 x + 2 2. g(x) = {2|2 if 0 < x < 5 if x 2 5 if x < 2 3. h(x) = 1+ x/ x – V2x2 – 4 if x 2 2 х2 — Зх + 2
Transcribed Image Text:CONTINUITY AND DISCONTINUITY OF FUNCTIONS Instructions: Answer this set together with your groupmates. Show all pertinent solutions/workings, when required, and box final answers. Every item without supporting solutions will merit a score of zero even if the final answer is correct. For each item, do the following: a. Find the possible points of discontinuity (PPD) of f b. Discuss the continuity of f at the PPD. Redefine the function in case of removable discontinuity. sin? 2x if x < 0 2x2 2х— 3 3 x – 1 x + 2 2. g(x) = {2|2 if 0 < x < 5 if x 2 5 if x < 2 3. h(x) = 1+ x/ x – V2x2 – 4 if x 2 2 х2 — Зх + 2
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