lim f(x) = 9 lim_ g(x) lim_h(x) = 0, X→2 X→2 X→2 find the limits, if they exist. (If an answer does not exist, enter DNE.) (a) lim [f(x) + 3g(x)] X→2 (b) lim xin [9(x)]³ X→2 (c) lim √f(x) X→2 4f(x) (d) lim x→2 g(x) g(x) (e) lim x-2 h(x) (f) lim X→2 f(x) g(x)h(x)
lim f(x) = 9 lim_ g(x) lim_h(x) = 0, X→2 X→2 X→2 find the limits, if they exist. (If an answer does not exist, enter DNE.) (a) lim [f(x) + 3g(x)] X→2 (b) lim xin [9(x)]³ X→2 (c) lim √f(x) X→2 4f(x) (d) lim x→2 g(x) g(x) (e) lim x-2 h(x) (f) lim X→2 f(x) g(x)h(x)
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...
Related questions
Question
Given that...
![### Limits Problem Set
Given the limits below:
- \(\lim_{{x \to 2}} f(x) = 9\)
- \(\lim_{{x \to 2}} g(x) = -2\)
- \(\lim_{{x \to 2}} h(x) = 0\)
Find the limits if they exist. (If an answer does not exist, enter DNE.)
**a) \(\lim_{{x \to 2}} \left[ f(x) + 3g(x) \right]**
\[
\boxed{\phantom{answer}}
\]
**b) \(\lim_{{x \to 2}} \left[ g(x) \right]^3\**
\[
\boxed{\phantom{answer}}
\]
**c) \(\lim_{{x \to 2}} \sqrt{f(x)}\**
\[
\boxed{\phantom{answer}}
\]
**d) \(\lim_{{x \to 2}} \frac{4f(x)}{g(x)}\**
\[
\boxed{\phantom{answer}}
\]
**e) \(\lim_{{x \to 2}} \frac{g(x)}{h(x)}\**
\[
\boxed{\phantom{answer}}
\]
**f) \(\lim_{{x \to 2}} \frac{g(x) h(x)}{f(x)}\**
\[
\boxed{\phantom{answer}}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F24fae4ed-b1b1-4171-bba8-4d29349ae5e5%2Fccac19ef-573f-4a5f-ae59-174e3f8ad411%2Fg2m7vuh_processed.png&w=3840&q=75)
Transcribed Image Text:### Limits Problem Set
Given the limits below:
- \(\lim_{{x \to 2}} f(x) = 9\)
- \(\lim_{{x \to 2}} g(x) = -2\)
- \(\lim_{{x \to 2}} h(x) = 0\)
Find the limits if they exist. (If an answer does not exist, enter DNE.)
**a) \(\lim_{{x \to 2}} \left[ f(x) + 3g(x) \right]**
\[
\boxed{\phantom{answer}}
\]
**b) \(\lim_{{x \to 2}} \left[ g(x) \right]^3\**
\[
\boxed{\phantom{answer}}
\]
**c) \(\lim_{{x \to 2}} \sqrt{f(x)}\**
\[
\boxed{\phantom{answer}}
\]
**d) \(\lim_{{x \to 2}} \frac{4f(x)}{g(x)}\**
\[
\boxed{\phantom{answer}}
\]
**e) \(\lim_{{x \to 2}} \frac{g(x)}{h(x)}\**
\[
\boxed{\phantom{answer}}
\]
**f) \(\lim_{{x \to 2}} \frac{g(x) h(x)}{f(x)}\**
\[
\boxed{\phantom{answer}}
\]
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning