The Taylor expansion of f for x → 1 is f(x) = 5(x - 1) - 4(x − 1)² + 4(x - 1)³ + o((x - 1)³); then, in a neighbourhood of x = 1. fis O (A) positive, decreasing and convex O (B) negative, decreasing and convex O (C) negative, increating and convex O (D) positive, increasing and concave O (E) positive, decreasing and concave

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The Taylor expansion of f for x→ 1 is f(x) = 5 - (x - 1) - 4(x − 1)² + 4(x - 1)³ + o((x - 1)³): then, in a neighbourhood of
x = 1. fis
O (A) positive, decreasing and convex
O (B) negative, decreasing and convex
O (C) negative, increating and convex
O (D) positive, increasing and concave
O (E) positive, decreasing and concave
Transcribed Image Text:3 The Taylor expansion of f for x→ 1 is f(x) = 5 - (x - 1) - 4(x − 1)² + 4(x - 1)³ + o((x - 1)³): then, in a neighbourhood of x = 1. fis O (A) positive, decreasing and convex O (B) negative, decreasing and convex O (C) negative, increating and convex O (D) positive, increasing and concave O (E) positive, decreasing and concave
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