Use any established series from class to find a Maclaurin Series representation for f(x) = 9x³ arctan (9x2). Then state its Radius of Convergence. Q4) use any established Series from class to find a Maclaurin Series representation Then state its Radius of Convergence. for f(x) = 9x³ arctan (9x²). arctan(x) = Σ (-1)^ n=o 2n+1 Let Z= 9x² arctance) Ci こ = = h=0 2n+1 Z 2n+1 = (-1) (9x²) 2n+1 n=o 2n+1 을 lx/12k1 19x²Kl € (-1) qut (xg2n+1 (x²laá n=0 2n+1 (xgenti 1 x < 1/1/13 2n+1 = 9x ² 500 (+1) ^ q² + 1 x 2 2n+1 ax³ arctan (9x²) = 9x² = n=0 2n+1 9x ³arctan (9x2) = (-1) 92+1 1 n=o 2n+1 Схезчин 982) 2n+2 ER.O.C

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Use any established series from class to find a Maclaurin Series representation for f(x) = 9x³ arctan (9x2).
Then state its Radius of Convergence.
Q4) use any established Series from class to find a Maclaurin Series representation
Then state its Radius of Convergence.
for f(x) = 9x³ arctan (9x²).
arctan(x) = Σ
(-1)^
n=o 2n+1
Let Z= 9x²
arctance) Ci
こ
=
=
h=0 2n+1
Z
2n+1
= (-1) (9x²) 2n+1
n=o 2n+1
을
lx/</
12k1
19x²Kl
€ (-1) qut (xg2n+1 (x²laá
n=0 2n+1
(xgenti
1 x < 1/1/13
2n+1
= 9x ² 500 (+1) ^ q² + 1 x 2 2n+1
ax³ arctan (9x²) = 9x² =
n=0 2n+1
9x ³arctan (9x2) = (-1) 92+1
1
n=o 2n+1
Схезчин
982) 2n+2
ER.O.C
Transcribed Image Text:Use any established series from class to find a Maclaurin Series representation for f(x) = 9x³ arctan (9x2). Then state its Radius of Convergence. Q4) use any established Series from class to find a Maclaurin Series representation Then state its Radius of Convergence. for f(x) = 9x³ arctan (9x²). arctan(x) = Σ (-1)^ n=o 2n+1 Let Z= 9x² arctance) Ci こ = = h=0 2n+1 Z 2n+1 = (-1) (9x²) 2n+1 n=o 2n+1 을 lx/</ 12k1 19x²Kl € (-1) qut (xg2n+1 (x²laá n=0 2n+1 (xgenti 1 x < 1/1/13 2n+1 = 9x ² 500 (+1) ^ q² + 1 x 2 2n+1 ax³ arctan (9x²) = 9x² = n=0 2n+1 9x ³arctan (9x2) = (-1) 92+1 1 n=o 2n+1 Схезчин 982) 2n+2 ER.O.C
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