Exercises Exercise 1 Evaluate lim 2 x² +1 x-1 3.x5 +4 Exercise 2 Limits if it exists. If it does not exist, enter DNE. Limits

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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# Calculus Exercises: Limits

## Exercise 1
**Topic:** Limits

**Task:**
Evaluate \(\lim_{{x \to -1}} \left( \frac{x^2 + 1}{3 \cdot x^5 + 4} \right)\) if it exists. If it does not exist, enter DNE.

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## Exercise 2
**Topic:** Limits

**Task:**
Evaluate \(\lim_{{h \to 0}} \left( \frac{1 + \frac{1}{h}}{1 + \frac{1}{h^2}} \right)\) if it exists. If it does not exist, enter DNE.

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These exercises require evaluating limits for given expressions and determining if the limit exists or not. If a limit does not exist, indicate this by entering "DNE" (Does Not Exist).
Transcribed Image Text:# Calculus Exercises: Limits ## Exercise 1 **Topic:** Limits **Task:** Evaluate \(\lim_{{x \to -1}} \left( \frac{x^2 + 1}{3 \cdot x^5 + 4} \right)\) if it exists. If it does not exist, enter DNE. --- ## Exercise 2 **Topic:** Limits **Task:** Evaluate \(\lim_{{h \to 0}} \left( \frac{1 + \frac{1}{h}}{1 + \frac{1}{h^2}} \right)\) if it exists. If it does not exist, enter DNE. --- These exercises require evaluating limits for given expressions and determining if the limit exists or not. If a limit does not exist, indicate this by entering "DNE" (Does Not Exist).
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