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0.8æ+4.4, f(x) = {2, x+5, x < −3 * = -3 *> -3 A. f(a) is continuous at a = -3. B. f(a) is not continuous at * = -3 because f(-3) is undefined. C. f(a) is not continuous at * = -3 because lim f(x) does not -3 exist. D. f(a) is not continuous at * = -3 because f(-3) and lim f(x) exist, but are not equal.

0.8æ+4.4, f(x) = {2, x+5, x < −3 * = -3 *> -3 A. f(a) is continuous at a = -3. B. f(a) is not continuous at * = -3 because f(-3) is undefined. C. f(a) is not continuous at * = -3 because lim f(x) does not -3 exist. D. f(a) is not continuous at * = -3 because f(-3) and lim f(x) exist, but are not equal.

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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(0.8+4.4, <-3 f(x) = {2, x=-3 2+5, x>-3 A. f(x) is continuous at * = -3. B. f(a) is not continuous at * = -3 because f(-3) is undefined. OC. f(a) is not continuous at * = -3 because lim f(x) does not exist. D. f(a) is not continuous at * = -3 because f(-3) and lim f(x) exist, but are not equal. ´ −æ+1, f(x) = -1, 1.2x0.4, # < 2 x=2 >2 A. f(a) is continuous at + = 2. B. f(x) is not continuous at * = 2 because f(2) is undefined. C. f(x) is not continuous at + = 2 because lim f(a) does not exist. D. f(x) is not continuous at # = 2 because f(2) and lim f(x) exist, but are not equal. f(x) = -0.6x+1.8, < -2 (0.2x+3.4, I > -2 A. f(x) is continuous at + = -2. B. f(x) is not continuous at * = -2 because f(-2) is undefined. OC. f(a) is not continuous at * = -2 because lim f(x) does not exist. D. f(a) is not continuous at * = -2 because f(-2) and lim f(x) exist, but are not equal. f(x) = (0.2+0.8, <1 -1, x=1 1.6x0.6, >1 A. f(x) is continuous at # = 1. B. f(x) is not continuous at = 1 because f(1) is undefined. C. f(a) is not continuous at + = 1 because lim f(x) does not exist. x 1 D. f(x) is not continuous at # = 1 because f(1) and lim f(x) exist, but are not equal.
Transcribed Image Text:(0.8+4.4, <-3 f(x) = {2, x=-3 2+5, x>-3 A. f(x) is continuous at * = -3. B. f(a) is not continuous at * = -3 because f(-3) is undefined. OC. f(a) is not continuous at * = -3 because lim f(x) does not exist. D. f(a) is not continuous at * = -3 because f(-3) and lim f(x) exist, but are not equal. ´ −æ+1, f(x) = -1, 1.2x0.4, # < 2 x=2 >2 A. f(a) is continuous at + = 2. B. f(x) is not continuous at * = 2 because f(2) is undefined. C. f(x) is not continuous at + = 2 because lim f(a) does not exist. D. f(x) is not continuous at # = 2 because f(2) and lim f(x) exist, but are not equal. f(x) = -0.6x+1.8, < -2 (0.2x+3.4, I > -2 A. f(x) is continuous at + = -2. B. f(x) is not continuous at * = -2 because f(-2) is undefined. OC. f(a) is not continuous at * = -2 because lim f(x) does not exist. D. f(a) is not continuous at * = -2 because f(-2) and lim f(x) exist, but are not equal. f(x) = (0.2+0.8, <1 -1, x=1 1.6x0.6, >1 A. f(x) is continuous at # = 1. B. f(x) is not continuous at = 1 because f(1) is undefined. C. f(a) is not continuous at + = 1 because lim f(x) does not exist. x 1 D. f(x) is not continuous at # = 1 because f(1) and lim f(x) exist, but are not equal.
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