iv. lim f(x) = X-4

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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Can you help me solve this using this chart please. I need help with question 5 parts i-iv
iii.
f(x+h)-f(x) =
h
5. Use the graph of y = f(x) below to answer parts a and b. If an answer does not exist, write DNE and if an answer
exists but is not an exact integer, round it to 1 decimal place.
a. Fill in the blank:
i.
ii.
iii.
iv.
lim f(x) =
x--2
lim f(x) =
x→0
lim f(x) =
x-3
lim f(x) =
x4
b. At what values of x is the graph discontinuous?
6. Evaluate each limit:
a. lim (x² - 5x + 8)
x-2
b. lim
x-0
(*45*)
(
x-2
x-2x²+4x-12)
c. lim
Transcribed Image Text:iii. f(x+h)-f(x) = h 5. Use the graph of y = f(x) below to answer parts a and b. If an answer does not exist, write DNE and if an answer exists but is not an exact integer, round it to 1 decimal place. a. Fill in the blank: i. ii. iii. iv. lim f(x) = x--2 lim f(x) = x→0 lim f(x) = x-3 lim f(x) = x4 b. At what values of x is the graph discontinuous? 6. Evaluate each limit: a. lim (x² - 5x + 8) x-2 b. lim x-0 (*45*) ( x-2 x-2x²+4x-12) c. lim
Expert Solution
Step 1

Given:

limx4f(x)

Note:limxa+f(x)=LMeans Every ε>0   such that  f(x)-L<ε   whenever 0<x-a<δlimxa-f(x)=LMeans Every ε>0   such that  f(x)-L<ε   whenever -δ<x-a<0

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