Consider the following. Sex if x < 1 if x ≥ 1 x4 (a) Find the left-hand and right-hand limits at the given value of a. lim f(x) = x-1- f(x) lim f(x) x+1+ 0 a = 1 (b) Explain why the function is discontinuous at the given number a. Since these limits are --Select---, lim f(x)-Select-- x-1 (c) Sketch the graph of the function and f is therefore discontinuous at 1.
Consider the following. Sex if x < 1 if x ≥ 1 x4 (a) Find the left-hand and right-hand limits at the given value of a. lim f(x) = x-1- f(x) lim f(x) x+1+ 0 a = 1 (b) Explain why the function is discontinuous at the given number a. Since these limits are --Select---, lim f(x)-Select-- x-1 (c) Sketch the graph of the function and f is therefore discontinuous at 1.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.5: Polynomial And Rational Functions
Problem 41E
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Transcribed Image Text:Consider the following.
Sex
x4
ifx<1
if x 21
(a) Find the left-hand and right-hand limits at the given value of a.
f(x)
lim f(x) =
x-1-
lim f(x) 0
x+1+
a = 1
(b) Explain why the function is discontinuous at the given number a.
Since these limits are --Select---, lim f(x) -Select--
x-1
(c) Sketch the graph of the function.
and f is therefore discontinuous at 1.
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