# Chapter 1 - Limits and Their Properties - 1.3 Exercises: 24

a) $4.$ b) $16.$ c) $16.$

#### Work Step by Step

a)By Theorem $1.3:$ $\lim\limits_{x\to c} p(x)=p(c)$ $\lim\limits_{x\to-3}f(x)=-3+7=4.$ b)By Theorem $1.3:$ $\lim\limits_{x\to c} p(x)=p(c)$ $\lim\limits_{x\to4}g(x)=(4)^2=16.$ c)By Theorem $1.5: \lim\limits_{x\to c}(f(g(x)))=f(\lim\limits_{x\to c}g(x)).$ $\lim\limits_{x\to-3}g(f(x))=g(\lim\limits_{x\to-3}f(x))=g(4)=16.$

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
The text passage contains a series of limit problems and their solutions, each with a specific answer provided.
multiple_questions_with_answers
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# Chapter 1 - Limits and Their Properties - 1.3 Exercises: 24

a) $4.$ b) $16.$ c) $16.$

#### Work Step by Step

a)By Theorem $1.3:$ $\lim\limits_{x\to c} p(x)=p(c)$ $\lim\limits_{x\to-3}f(x)=-3+7=4.$ b)By Theorem $1.3:$ $\lim\limits_{x\to c} p(x)=p(c)$ $\lim\limits_{x\to4}g(x)=(4)^2=16.$ c)By Theorem $1.5: \lim\limits_{x\to c}(f(g(x)))=f(\lim\limits_{x\to c}g(x)).$ $\lim\limits_{x\to-3}g(f(x))=g(\lim\limits_{x\to-3}f(x))=g(4)=16.$

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
user
The text passage contains a series of limit problems and their solutions, each with a specific answer provided.

TYPE: MULTIPLE_QUESTIONS_WITH_ANSWERS