9) True or False. Circle True only if the statement is ALWAYS true. (a) True False f(x)g(x)] = f'(x)g (x) (explain why if false): (b) True False (explain why if false): (c) True False (explain why if false): (d) True False (explain why if false): (e) True False (explain why if false): If y = 3, then y'= 3e = ( 96² ) = m(x)g'(x)-g(x)-x'(x) dr If lim h(x) = x, then x = 4 is a vertical asymptote of the graph of . If f is continuous at a, then f is differentiable at a (f) True False (Hint: Squeeze theorem) If f(1) ≤ g(1) ≤ h(1) for all z and lim f(x) = lim g(x)=0 then lim h(1) = 0. 20
9) True or False. Circle True only if the statement is ALWAYS true. (a) True False f(x)g(x)] = f'(x)g (x) (explain why if false): (b) True False (explain why if false): (c) True False (explain why if false): (d) True False (explain why if false): (e) True False (explain why if false): If y = 3, then y'= 3e = ( 96² ) = m(x)g'(x)-g(x)-x'(x) dr If lim h(x) = x, then x = 4 is a vertical asymptote of the graph of . If f is continuous at a, then f is differentiable at a (f) True False (Hint: Squeeze theorem) If f(1) ≤ g(1) ≤ h(1) for all z and lim f(x) = lim g(x)=0 then lim h(1) = 0. 20
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
![9) True or False. Circle True only if the statement is ALWAYS true.
(a) True False
=f(x)g(x)] = f'(x)g (x)
(explain why if false).
(b) True False
(explain why if false):
(c) True False
(explain why if false):
(d) True False
(explain why if false):
(e) True False
(explain why if false):
If y = 3, then y'= 3e
- (96²) = *(x-g²(x)-g(x)*'(x)
(AC))²
If lim (x)=x, then x = 4 is a vertical asymptote of the graph of #.
If f is continuous at a, then f is differentiable at a
(f) True False (Hint: Squeeze theorem)
If f(1) ≤ g(1) ≤ h(1) for all r and lim f(x) = lim g(x)=0 then lim h(z) = 0.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faa942fc0-4b17-43ba-9d50-8b7950d94764%2F4217e115-fad0-4f38-895e-1aa561437404%2Fj2dqko_processed.jpeg&w=3840&q=75)
Transcribed Image Text:9) True or False. Circle True only if the statement is ALWAYS true.
(a) True False
=f(x)g(x)] = f'(x)g (x)
(explain why if false).
(b) True False
(explain why if false):
(c) True False
(explain why if false):
(d) True False
(explain why if false):
(e) True False
(explain why if false):
If y = 3, then y'= 3e
- (96²) = *(x-g²(x)-g(x)*'(x)
(AC))²
If lim (x)=x, then x = 4 is a vertical asymptote of the graph of #.
If f is continuous at a, then f is differentiable at a
(f) True False (Hint: Squeeze theorem)
If f(1) ≤ g(1) ≤ h(1) for all r and lim f(x) = lim g(x)=0 then lim h(z) = 0.
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