text: # 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.
explanation: The document contains a series of limit problems and their solutions. Each part (a, b, c) presents a limit problem and its corresponding answer, derived using specific theorems.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: # 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.
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a series of limit problems and their solutions. Each part (a, b, c) presents a limit problem and its corresponding answer, derived using specific theorems.
  
  Label: multiple-question-and-answer