1. (a) Find the interval in which conditions of Rolle's theorem are satisfied for the function f(x) = x² – 6x + 8 and check the validity of Rolle's theorem for the given function. (b) Using e – 8 definition, show that lim(x² +x – 4) = 8.
1. (a) Find the interval in which conditions of Rolle's theorem are satisfied for the function f(x) = x² – 6x + 8 and check the validity of Rolle's theorem for the given function. (b) Using e – 8 definition, show that lim(x² +x – 4) = 8.
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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![1. (a) Find the interval in which conditions of Rolle's theorem are satisfied for the function
f (x) = x2 – 6x + 8 and check the validity of Rolle's theorem for the given function. [2.5]
(b) Using e – 8 definition, show that lim (x2 +x – 4) = 8.
[2.5]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F524df063-de8c-4cc4-980a-748a8b150aa0%2Fdae692e3-9828-4f4f-a15c-b98f71739703%2F0ndc57m_processed.png&w=3840&q=75)
Transcribed Image Text:1. (a) Find the interval in which conditions of Rolle's theorem are satisfied for the function
f (x) = x2 – 6x + 8 and check the validity of Rolle's theorem for the given function. [2.5]
(b) Using e – 8 definition, show that lim (x2 +x – 4) = 8.
[2.5]
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