Find the limit lim h→0 lim h→0 f(−9 + h) — f(−9) h f(-9+h)-f(-9) h if f(x) = 829 - 6x².

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
Find the limit lim
h→0
lim
h→0
f(-9+h)- f(-9)
h
f(−9+ h) – f(−9)
h
=
if f(x) = 829 - 6x².
I
Transcribed Image Text:Find the limit lim h→0 lim h→0 f(-9+h)- f(-9) h f(−9+ h) – f(−9) h = if f(x) = 829 - 6x². I
Expert Solution
Step 1: Define the problem.

To find the limit limit as straight h rightwards arrow 0 of space fraction numerator straight f open parentheses negative 9 plus straight h close parentheses minus straight f open parentheses negative 9 close parentheses over denominator straight h end fraction, if straight f open parentheses straight x close parentheses equals cube root of 829 minus 6 straight x squared end root.

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