Given the following limits, calculate the limits below, if they exist. (If it does not exist, enter NONE.) lim f(x) = 1 x→2 lim g(x) = -2 I→2 lim h(x) = 0 x 2 (a) lim[f (x) + 4g (x)] (6) lim[g(x)]³ (c) lim √f(x) 5f (x) r2 g(x) (d) lim g(x) x+2 h (x) (e) lim (f) lim g(x) h (x) I→2 f (x)

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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2.3 Q1

Given the following limits, calculate the limits below, if they exist. (If it does not exist, enter NONE.)
lim f(x) = 1
x→2
lim g(x) = -2
I→2
lim h(x) = 0
x 2
(a) lim[f (x) + 4g (x)]
(6) lim[g(x)]³
(c) lim √f(x)
5f (x)
r2 g(x)
(d) lim
g(x)
x+2 h (x)
(e) lim
(f) lim
g(x) h (x)
I→2 f (x)
Transcribed Image Text:Given the following limits, calculate the limits below, if they exist. (If it does not exist, enter NONE.) lim f(x) = 1 x→2 lim g(x) = -2 I→2 lim h(x) = 0 x 2 (a) lim[f (x) + 4g (x)] (6) lim[g(x)]³ (c) lim √f(x) 5f (x) r2 g(x) (d) lim g(x) x+2 h (x) (e) lim (f) lim g(x) h (x) I→2 f (x)
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