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IV. Let ƒ be the function defined below. |z² + 3x| Discuss the continuity of f at 1 = -3, r = 0 and r = 1. If discontinuous, give the type if I<0,x± -3 I+3 f(x) = 0 1. of discontinuity. V. Consider the graph of y = f(x) below. At the following I- coordinates, write whether (A) ƒ is continuous, (B) ƒ

IV. Let ƒ be the function defined below. |z² + 3x| Discuss the continuity of f at 1 = -3, r = 0 and r = 1. If discontinuous, give the type if I<0,x± -3 I+3 f(x) = 0 1. of discontinuity. V. Consider the graph of y = f(x) below. At the following I- coordinates, write whether (A) ƒ is continuous, (B) ƒ

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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IV. Let f be the function defined below. Discuss the continuity of f at 1 = -3, r = 0 and r = 1. If discontinuous, give the type of discontinuity. |x² + 3x if r<0,x± -3 r+3 f(r) = 0 < x <1 I> 1. I+1, if if V. Consider the graph of y = f(x) below. At the following I- coordinates, write whether (A) ƒ is continuous, (B) ƒ has a removable discontinu- f(x}. ity, (C) ƒ has an essential jump discontinuity, or (D) f has an essential infinite (3, 4): (0, 3) (3, 2): discontinuity. 1. r = -2 3. I= 3 (÷2. 1) (3, 0): 2. I - 0 4. x – 6
Transcribed Image Text:IV. Let f be the function defined below. Discuss the continuity of f at 1 = -3, r = 0 and r = 1. If discontinuous, give the type of discontinuity. |x² + 3x if r<0,x± -3 r+3 f(r) = 0 < x <1 I> 1. I+1, if if V. Consider the graph of y = f(x) below. At the following I- coordinates, write whether (A) ƒ is continuous, (B) ƒ has a removable discontinu- f(x}. ity, (C) ƒ has an essential jump discontinuity, or (D) f has an essential infinite (3, 4): (0, 3) (3, 2): discontinuity. 1. r = -2 3. I= 3 (÷2. 1) (3, 0): 2. I - 0 4. x – 6
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