Use technology to graph the function f. Then use the graph or other analysis to answer Items a) through d). x + 2 f(x) = Vx2 - 4 a) Evaluate lim f(x). x-2+ b) Evaluate lim f(x). X→ー0 c) Evaluate f(3). Show the calculation and give an exact, simplified answer, not a decimal approximation.
Use technology to graph the function f. Then use the graph or other analysis to answer Items a) through d). x + 2 f(x) = Vx2 - 4 a) Evaluate lim f(x). x-2+ b) Evaluate lim f(x). X→ー0 c) Evaluate f(3). Show the calculation and give an exact, simplified answer, not a decimal approximation.
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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Question
![Use technology to graph the function \( f \). Then use the graph or other analysis to answer items a) through d).
\[ f(x) = \frac{x + 2}{\sqrt{x^2 - 4}} \]
a) Evaluate \( \lim_{{x \to 2^+}} f(x) \).
b) Evaluate \( \lim_{{x \to -\infty}} f(x) \).
c) Evaluate \( f(3) \). Show the calculation and give an exact, simplified answer, not a decimal approximation.
d) Read the definition of limit on p. 97 and the note following the definition. Refer to these statements to explain why
\[ \lim_{{x \to -2}} f(x) \neq 0 \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F236de4c3-f237-402b-b0e0-efa1a8147b53%2F0017692b-f80b-4478-83c2-d8864d769698%2F6vf7tc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Use technology to graph the function \( f \). Then use the graph or other analysis to answer items a) through d).
\[ f(x) = \frac{x + 2}{\sqrt{x^2 - 4}} \]
a) Evaluate \( \lim_{{x \to 2^+}} f(x) \).
b) Evaluate \( \lim_{{x \to -\infty}} f(x) \).
c) Evaluate \( f(3) \). Show the calculation and give an exact, simplified answer, not a decimal approximation.
d) Read the definition of limit on p. 97 and the note following the definition. Refer to these statements to explain why
\[ \lim_{{x \to -2}} f(x) \neq 0 \]
Expert Solution
Step 1
Given:
f(x) = (x+2) / √(x2-4)
Step by step
Solved in 2 steps with 1 images
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