(5). Given the function (x +2)(x+5)(x – 5) 13(x + 3)(x + 5) if x < 2 f(x): 4(4 – x)(x – 5) 13(x – 1)(x+ 8) if x > 2 Find the following: (a) lim f(x) (b) lim f(x) X -00 (c) lim f(x) x+ 2-
(5). Given the function (x +2)(x+5)(x – 5) 13(x + 3)(x + 5) if x < 2 f(x): 4(4 – x)(x – 5) 13(x – 1)(x+ 8) if x > 2 Find the following: (a) lim f(x) (b) lim f(x) X -00 (c) lim f(x) x+ 2-
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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Question
![(5). Given the function
(x + 2)(x + 5)(x – 5)
13(x + 3)(x + 5)
if x < 2
f(x) =
4(4 – x)(x – 5)
13(x – 1)(x + 8)
if x > 2
Find the following:
(a) lim f(x)
(b) lim f(x)
(c) lim f(x)
x→ 2-
(d) lim f(x)
X→ -3-
(e) lim f(x)
x→ 2+
(f) lim f(x)
(g) lim f(x)
(h) lim f(x)
X→ -5
(i) Find all values of x such that f(x) is not continuous.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7c2daad3-9a74-4992-81f9-5c991202eff5%2F0379cb6c-a89d-4833-ab2e-097bebd4787f%2F8g2n18c_processed.png&w=3840&q=75)
Transcribed Image Text:(5). Given the function
(x + 2)(x + 5)(x – 5)
13(x + 3)(x + 5)
if x < 2
f(x) =
4(4 – x)(x – 5)
13(x – 1)(x + 8)
if x > 2
Find the following:
(a) lim f(x)
(b) lim f(x)
(c) lim f(x)
x→ 2-
(d) lim f(x)
X→ -3-
(e) lim f(x)
x→ 2+
(f) lim f(x)
(g) lim f(x)
(h) lim f(x)
X→ -5
(i) Find all values of x such that f(x) is not continuous.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
Note: There are multiple parts, and it is only allowed 3 subparts, therefore post the other subparts in next session.
(a)
To find:
The limit of .
Calculation:
The function for , therefore the limit of can be obtained as,
Thus, the value of limit is .
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