Consider the function below. Use it to evaluate each of the following expressions. (If an expression does not exist, enter NONE.) if x < 1 if x = 1 if 1 < x≤ 2 if x > 2 g(x) = = x 9 2-² x - (a) lim g(x) z 1- (d) lim g(x) x 2 (b) lim g(x) z+1+ (e) lim g(x) z→2+ (c) g (1) (f) lim g (x) x 2

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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Consider the function below. Use it to evaluate each of the following expressions. (If an expression does not exist, enter NONE.)
if x < 1
if x = 1
if 1 < x≤ 2
if x > 2
g(x) =
=
x
9
2-²
x -
(a) lim g(x)
z 1-
(d) lim g(x)
x 2
(b) lim g(x)
z+1+
(e) lim g(x)
z→2+
(c) g (1)
(f) lim g (x)
x 2
Transcribed Image Text:Consider the function below. Use it to evaluate each of the following expressions. (If an expression does not exist, enter NONE.) if x < 1 if x = 1 if 1 < x≤ 2 if x > 2 g(x) = = x 9 2-² x - (a) lim g(x) z 1- (d) lim g(x) x 2 (b) lim g(x) z+1+ (e) lim g(x) z→2+ (c) g (1) (f) lim g (x) x 2
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