Prove, using the formal limit definition of the derivative, that if f(x) = then f'(3) = - 1-2x x3 s Find lim x-3 [(2√x + x) Justify each step by citing limit laws at each step as appr for example: sum, difference, constant multiple, product, quotient, power, root, cancellation Do NOT use a 6 - e argument.

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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Prove, using the formal limit definition of the derivative, that if f(x) = then f'(3) = -
1 2x
s Find lim [(2√2+z) (¹-2)]
Justify each step by citing limit laws at each step as appr
x3
for example: sum, difference, constant multiple, product, quotient, power, root, cancellation .
Do NOT use a 6 - e argument.
Ø
Transcribed Image Text:Prove, using the formal limit definition of the derivative, that if f(x) = then f'(3) = - 1 2x s Find lim [(2√2+z) (¹-2)] Justify each step by citing limit laws at each step as appr x3 for example: sum, difference, constant multiple, product, quotient, power, root, cancellation . Do NOT use a 6 - e argument. Ø
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