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QUESTION 6 6.1 Evaluate the following limits: (a) lim (x² + x) (3.r³ + 6) (b) lim vu² + 3u +6 u→-2 2x + 12 (c) Let ƒ (x) = |x + 6| Determine: (i) lim ƒ (x) I-6+ (ii) lim ƒ (x) (iii) Use (i) and (ii) to deduce lim ƒ (x) at = 6. 6.2 Let COS x if a < 0 f (x) = if a = 0 1- x2 if r > 0 (a) Sketch the graph of f (x). (b) Is ƒ (x) continuous at x = 0? Give reason(s) for your answer.

QUESTION 6 6.1 Evaluate the following limits: (a) lim (x² + x) (3.r³ + 6) (b) lim vu² + 3u +6 u→-2 2x + 12 (c) Let ƒ (x) = |x + 6| Determine: (i) lim ƒ (x) I-6+ (ii) lim ƒ (x) (iii) Use (i) and (ii) to deduce lim ƒ (x) at = 6. 6.2 Let COS x if a < 0 f (x) = if a = 0 1- x2 if r > 0 (a) Sketch the graph of f (x). (b) Is ƒ (x) continuous at x = 0? Give reason(s) for your answer.

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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Answer 6.2. Please make sure its legible.

QUESTION 6 6.1 Evaluate the following limits: (a) lim (x² + x) (3r³ + 6) (Ъ) lim Vu2 + Зи + 6 u--2 2x + 12 (c) Let f (x) |x + 6| Determine: (i) lim f (x) x→6+ (ii) lim f (x) (iii) Use (i) and (ii) to deduce lim f (x) at = 6. 6.2 Let COS x if x < 0 f (x) = if x = 0 %3D 1- x2 if x > 0 (a) Sketch the graph of f (x). (b) Is f (x) continuous at x = 0? Give reason(s) for your answer.
Transcribed Image Text:QUESTION 6 6.1 Evaluate the following limits: (a) lim (x² + x) (3r³ + 6) (Ъ) lim Vu2 + Зи + 6 u--2 2x + 12 (c) Let f (x) |x + 6| Determine: (i) lim f (x) x→6+ (ii) lim f (x) (iii) Use (i) and (ii) to deduce lim f (x) at = 6. 6.2 Let COS x if x < 0 f (x) = if x = 0 %3D 1- x2 if x > 0 (a) Sketch the graph of f (x). (b) Is f (x) continuous at x = 0? Give reason(s) for your answer.
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