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Problems 16-19, Consider the function f(x) = 4x - 2. 16. Find lim (4x − 2) 113 -14 17. Find a 8 for € = 1 so that if |x-c| < 8 then f(x) - L

Problems 16-19, Consider the function f(x) = 4x - 2. 16. Find lim (4x − 2) 113 -14 17. Find a 8 for € = 1 so that if |x-c| < 8 then f(x) - L

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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Question 17 and 18

Problems 16-19, Consider the function f(x) = 4x - 2. 16. Find lim (4x - 2) 1-3 -14 17. Find a d for € = 1 so that if |xc| < 8 then |ƒ(x) − L| < €. 18. Find a d for € = 0.25 so that if |x- c < 8 then |f(x) - L| < €. 19. Find a d for an arbitrary e so that if |x − c| < 8 then |ƒ(x) — L\ < €. Problems 20-21, Consider the function f(x) = -5x + 6. 20. Find lim (4x - 2) x-3 21. Prove your limit in the previous problem by finding a d for an arbitrary so that if x- c < 8 then f(x) - L| < €
Transcribed Image Text:Problems 16-19, Consider the function f(x) = 4x - 2. 16. Find lim (4x - 2) 1-3 -14 17. Find a d for € = 1 so that if |xc| < 8 then |ƒ(x) − L| < €. 18. Find a d for € = 0.25 so that if |x- c < 8 then |f(x) - L| < €. 19. Find a d for an arbitrary e so that if |x − c| < 8 then |ƒ(x) — L\ < €. Problems 20-21, Consider the function f(x) = -5x + 6. 20. Find lim (4x - 2) x-3 21. Prove your limit in the previous problem by finding a d for an arbitrary so that if x- c < 8 then f(x) - L| < €
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