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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 28E
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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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