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.If I want to evaluate f(-1) what value do I get? If I want to 2. In our first week we are learning about limits. Let's consider the functionf (x) = evaluate lim,--Lƒ (x)what value do I get? Why do I get two different answers?

.If I want to evaluate f(-1) what value do I get? If I want to 2. In our first week we are learning about limits. Let's consider the functionf (x) = evaluate lim,--Lƒ (x)what value do I get? Why do I get two different answers?

Calculus: Early Transcendentals
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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**Topic: Understanding Limits** In our first week, we are learning about limits. Let's consider the function \( f(x) = \frac{x^2 - 1}{x + 1} \). - If I want to evaluate \( f(-1) \), what value do I get? - If I want to evaluate \( \lim_{{x \to -1}} f(x) \), what value do I get? - Why do I get two different answers? **Discussion:** Understanding the behavior of the function around different points, particularly where it may not be directly substitutable, is crucial in understanding limits and continuity.
Transcribed Image Text:**Topic: Understanding Limits** In our first week, we are learning about limits. Let's consider the function \( f(x) = \frac{x^2 - 1}{x + 1} \). - If I want to evaluate \( f(-1) \), what value do I get? - If I want to evaluate \( \lim_{{x \to -1}} f(x) \), what value do I get? - Why do I get two different answers? **Discussion:** Understanding the behavior of the function around different points, particularly where it may not be directly substitutable, is crucial in understanding limits and continuity.
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