V X if x < 0 3. Consider the function f(t) = = 3-x if 0 < x < 3. (x - 3)² if x > 3 Find each of the following limits, if they exist. If a limit does not exist, answer "DNE". (No work needs to be shown). i. lim f(x) ii. lim f(x) x+0+ lim f(x) iii. lim iv. lim f(x) x-3- v. lim f(x) x+3+ ui lim f(m) -0-x

Calculus: Early Transcendentals
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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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-X
if x < 0
3. Consider the function f(t)
=
3-x
if 0 < x < 3.
(x-3)²
if x > 3
(a)
Find each of the following limits, if they exist. If a limit does not exist, answer
"DNE". (No work needs to be shown).
i. lim f(x)
ii. lim f(x)
2
iii. lim f(x)
x →0
iv. lim f(x)
x-3-
v. lim f(x)
x+3+
vi. lim f(x)
x-3
-0-x
+0+x
Transcribed Image Text:-X if x < 0 3. Consider the function f(t) = 3-x if 0 < x < 3. (x-3)² if x > 3 (a) Find each of the following limits, if they exist. If a limit does not exist, answer "DNE". (No work needs to be shown). i. lim f(x) ii. lim f(x) 2 iii. lim f(x) x →0 iv. lim f(x) x-3- v. lim f(x) x+3+ vi. lim f(x) x-3 -0-x +0+x
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