Find the Taylor series generated by f at x = a.
-f(x) = 8x + 2, a = 2
A) 8(x - 2) + 14
B) 8(x - 2) + 18
C) 8(x + 2) + 18
D) 8(x + 2) + 14

Name: Find the Taylor series generated by f at x = a. -f(x) = 8x + 2, a = 2 A) 8(x - 2) + 14 B) 8(x - 2) + 18 C) 8(x + 2) + 18 D) 8(x + 2) + 14
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Question

Find the Taylor series generated by f at x = a.    
-f(x) = 8x + 2, a = 2
A) 8(x - 2) + 14
B) 8(x - 2) + 18
C) 8(x + 2) + 18
D) 8(x + 2) + 14

Quizplus · Accepted Answer

The Taylor series for a linear function f(x) = 8x + 2 at a = 2 is f(a) + f'(a)(x - a). Here, f(2) = 18 and f'(x) = 8, so the series is 18 + 8(x - 2).

Find the Taylor Series Generated by F at X =