Determine the value of k so that lim f(x) exists. x→2 1 if x < 2 f(x) = 3 x + k_ if x > 2 z* +

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.6: Rational Functions
Problem 2E
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Solve the problem. Show your complete solution and then box your final answer.

Determine the value of ? so that lim?→2 ?(?) exists.

?(?)={−1/2?+1 if ?<2

3/2?+? if ?>2

Determine the value of k so that lim f(x) exists.
x→2
1
-x + 1
if x < 2
f (x) =
%3D
3
- x + k
x > 2
z* +
Transcribed Image Text:Determine the value of k so that lim f(x) exists. x→2 1 -x + 1 if x < 2 f (x) = %3D 3 - x + k x > 2 z* +
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