13. For which one of the following values of k does lim (a) 7 (b)-4 (c) 3 (d) -12 x²-x+k x-4 exist?

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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13. For which one of the following values of k does lim
I-4
(a) 7
(b)-4
(c) 3
(d) -12
x² − x + k
x-4
exist?
Transcribed Image Text:13. For which one of the following values of k does lim I-4 (a) 7 (b)-4 (c) 3 (d) -12 x² − x + k x-4 exist?
Expert Solution
Step 1

When x tends to 4, x-4 tends to zero.

So, the denominator of the given rational function tends to zero.

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