Which of the following limits represents f' (2) where f(x) = x2 + 2x – 1?(2+ h)² + 2h –- 2limh→0h(2 + h)2 + 2h – 5limh→0h(2+ h)2 + 2hlim4h→0h – 2(2 + h)2 + 2h – 4limh→0h

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Which of the following limits represents f' (2) where f(x) x2 + 2x – 1? (2 + h)2 + 2h – 2 lim h→0 h (2 +h)2 + 2h - 5 lim h→0 (2 + h)? + 2h – 4 lim h→0 h – 2 (2 + h)2 + 2h – 4 lim h→0

Which of the following limits represents f' (2) where f(x) x2 + 2x – 1? (2 + h)2 + 2h – 2 lim h→0 h (2 +h)2 + 2h - 5 lim h→0 (2 + h)? + 2h – 4 lim h→0 h – 2 (2 + h)2 + 2h – 4 lim h→0

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...

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Concept explainers

Limits of Multivariable Functions

Multivariable calculus is an extension of single variable calculus. It involves several variables instead of just one. Assume there is an open set containing points (x0, y0), let f be a function defined in that open interval except for the points (x0, y0). The multivariable limit of this function as it approaches the points (x0, y0) and is denoted as:

Question

Which of the following limits represents f' (2) where f(x) = x2 + 2x – 1?
(2+ h)² + 2h –- 2
lim
h→0
h
(2 + h)2 + 2h – 5
lim
h→0
h
(2+ h)2 + 2h
lim
4
h→0
h – 2
(2 + h)2 + 2h – 4
lim
h→0
h

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