In Problems 22 through 26, given a piecewise function [(x2+3x-4) (x-1) if x<1 f(x) = kx+1 (2+m)x A) 4 Find lim f(x) =, %3D %3D if x = 1 x→1- if x>1 B) 5 C) 6 D) 7
In Problems 22 through 26, given a piecewise function [(x2+3x-4) (x-1) if x<1 f(x) = kx+1 (2+m)x A) 4 Find lim f(x) =, %3D %3D if x = 1 x→1- if x>1 B) 5 C) 6 D) 7
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:22) In Problems 22 through 26, given a piecewise function
(x2+3x-4)
(x-1)
if x <1
f(x) =,
kx+1
(2+m)x
A) 4
Find
lim f(x) =
%3D
if x = 1
x→1-
if x>1
B) 5
C) 6
D) 7

Transcribed Image Text:25) Find the value of k =
A) 2
such that the function f(x) is continuouos at x = 1.
B) 4
C) 3
D) 1
26) Is the function f(x) is continuouos at x =- 5? Explain why.
A) No, since f(-5) = - 1; lim f(x) =3, with
x→ - 1
lim f(x) z f(-5) ;
x→ - 1
B) No, since f(-5) = - 1; lim f(x) = - 2, with
X→ - 5
lim f(x) z f(-5) ;
x→- 5
C) Yes, since f(-5) = – 1;
f(x) = f(-5) ;
lim f(x) = 3, with
x→- 1
lim
x→ - 5
D) Yes, since f(-5) = – 1;
lim f(x) = - 1, with
lim f(x) = f(-5) ;
x→ - 5
x→ - 5
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