Find the limit L (if it exists). If it does not exist, explain why. (If an answer does not exist, enter DNE.) x - 3 lim x+3x²-9 L = O The limit does not exist at x = 3 because the function approaches different values from the left and right side of 3. O The limit does not exist at x = 3 because the function is not continuous at any x value. O The limit does not exist at x = 3 because the function value is undefined at x = 3. O The limit does not exist at x = 3 because the function does not approach f(3) as x approaches 3. O The limit exists at x = 3.

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...
Question
Find the limit L (if it exists). If it does not exist, explain why. (If an answer does not exist, enter DNE.)
x - 3
lim
x→3- x2 - 9
L =
O The limit does not exist at x = 3 because the function approaches different values from the left and right side of 3.
O The limit does not exist at x = 3 because the function is not continuous at any x value.
O The limit does not exist at x = 3 because the function value is undefined at x = 3.
O The limit does not exist at x = 3 because the function does not approach f(3) as x approaches 3.
O The limit exists at x = 3.
Transcribed Image Text:Find the limit L (if it exists). If it does not exist, explain why. (If an answer does not exist, enter DNE.) x - 3 lim x→3- x2 - 9 L = O The limit does not exist at x = 3 because the function approaches different values from the left and right side of 3. O The limit does not exist at x = 3 because the function is not continuous at any x value. O The limit does not exist at x = 3 because the function value is undefined at x = 3. O The limit does not exist at x = 3 because the function does not approach f(3) as x approaches 3. O The limit exists at x = 3.
Find the limit L.
lim
X→ 4
x-3-1
X - 4
Transcribed Image Text:Find the limit L. lim X→ 4 x-3-1 X - 4
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