The Taylor expansion for x1 of the function f is f(x) = e+ e(x – 1) +5e(x - 1)2 + o((x – 1)²) then O (A) the tangent line to the graph of f at x = 1 is y = ex - e O (B) the tangent line to the graph of f at x = 1 is y = x-1 (C)f has a maximum at x =1 O (D) the tangent line to the graph of f at x = 1 is y = ex O (E) f has a minimum at x = 1

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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The Taylor expansion for x 1 of the function f is f(x) = e + e(x - 1)+5e(x- 1)2 + o((x- 1)) then
O (A) the tangent line to the graph of f at x = 1 is y = ex - e
O (B) the tangent line to the graph of f at x = 1 is y = x-1
(C)f has a maximum at x =1
O (D) the tangent line to the graph of f at x = 1 is y = ex
O (E) f has a minimum at x = 1
Transcribed Image Text:The Taylor expansion for x 1 of the function f is f(x) = e + e(x - 1)+5e(x- 1)2 + o((x- 1)) then O (A) the tangent line to the graph of f at x = 1 is y = ex - e O (B) the tangent line to the graph of f at x = 1 is y = x-1 (C)f has a maximum at x =1 O (D) the tangent line to the graph of f at x = 1 is y = ex O (E) f has a minimum at x = 1
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