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One-sided limits Let _-←æ b. lim f(x) x→→5+ c. lim_f(x) G-←æ Compute the following limits or state that they do not exist. a. lim f(x) d. lim f(x) x 57 e. lim f(x) x→5+ f(x) = f. lim f(x) x→5 0 25 3x x² if x ≤ -5 if - 5 < x < 5 if x ≥ 5.

One-sided limits Let _-←æ b. lim f(x) x→→5+ c. lim_f(x) G-←æ Compute the following limits or state that they do not exist. a. lim f(x) d. lim f(x) x 57 e. lim f(x) x→5+ f(x) = f. lim f(x) x→5 0 25 3x x² if x ≤ -5 if - 5 < x < 5 if x ≥ 5.

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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74. One-sided limits Let b. lim f(x) x→→5+ c. lim_f(x) x→→5 d. lim f(x) x 57 e. lim f(x) x→5+ f(x) = f. lim f(x) x → 5 0 25 Compute the following limits or state that they do not exist. a. lim f(x) x→→5 3x if x < -5 x² if − 5 < x < 5 if x ≥ 5.
Transcribed Image Text:74. One-sided limits Let b. lim f(x) x→→5+ c. lim_f(x) x→→5 d. lim f(x) x 57 e. lim f(x) x→5+ f(x) = f. lim f(x) x → 5 0 25 Compute the following limits or state that they do not exist. a. lim f(x) x→→5 3x if x < -5 x² if − 5 < x < 5 if x ≥ 5.
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If left hand limit and right hand limit of a function at a point x=a, exits and are equal then we say that limit of the function exists at x=a and it is equal to the left hand and right hand limits. 

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