Show that the function given below is continuous at x = - 5. 3x +14x-5 x# -5 f(x) = x+5 - 16 X= - 5 The function f(x) is continuous at x = -5 since f(- 5) = and lim, -5f(x)= implies that lim,-5f(x) Vf(-5). %3D

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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Show that the function given below is continuous at x = - 5.
3x + 14x-5
xチ -5
f(x) =
x+5
-16
X= - 5
The function f(x) is and lim,- 5f(x)=| implies that lim, - 5f(x) f(-5).
continuous at x = -5 since f(- 5)%3D
>
く
Transcribed Image Text:Show that the function given below is continuous at x = - 5. 3x + 14x-5 xチ -5 f(x) = x+5 -16 X= - 5 The function f(x) is and lim,- 5f(x)=| implies that lim, - 5f(x) f(-5). continuous at x = -5 since f(- 5)%3D > く
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