Question

1 1 Find the Taylor series for f(x) about <= 5. 3.2 4 The general term is an = The first five terms of the Taylor series are Show or upload your work below.

Answer 1

given fin) = 32-4 The tayla series for f(x) = 1 1 2 - 4 about x=5 il fla) (4-2) fº[@ + fra) +(2-a)f/a) + Gyep yen a team on usein f f(a)t-- 34524 )) -3 12) 18 & f'(a) 2) f's) 1331 & f (a) = 7f"15) = 2! 힝 s! given f(x) = 1 32-4 = f(s) = 1 of f'(x) = -3 =):475) = -3 (32-4 -u)? (3x5-4)" 6X3 2) f"64) - 18 (31-413 37-413 162 - 162 (32-434 14,64) e f (x) = 1944 (31-435 & f¢») = - 29,160 = f's) = -29,160 (31-46 1771561 to required taylor series f(n) = 4 + (7-5) (72,)+(LE C141050) + (05.197-29160 = f(s) = 1944 161051 3 (1-5) , 1621 3) (1964) (1514 cs Scanned with t ( CamScanner 171156)
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