A function f and value a are given. Approximate the limit of the difference quotient, f(a+h)–f(a) lim h0 using h = ±0.1,±0.01. f(1) = 3x – 3, a = 3 - f(a+h)-f(@) h When h = -0.1, fath)-f(a) When h = 0.01, Aath) f(a) %3D When h = -0.01 fath) f(a) %3D

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...
Question
A function f and value a are given. Approximate the limit of the difference quotient,
f(a+h)-f(a)
lim
h->0
using h = +0.1, £0.01.
f(x) = 3x - 3,
a = 3
When h = 0.1, fath)-f(a)
When h
-0.1, fath) f(a)
When h = 0.01, A@ih)_f(a)
%3D
When h = -0.01. fath) f(a)
%3D
Transcribed Image Text:A function f and value a are given. Approximate the limit of the difference quotient, f(a+h)-f(a) lim h->0 using h = +0.1, £0.01. f(x) = 3x - 3, a = 3 When h = 0.1, fath)-f(a) When h -0.1, fath) f(a) When h = 0.01, A@ih)_f(a) %3D When h = -0.01. fath) f(a) %3D
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