Tentukan Deret Taylor dari fungsi, dengan deret taylor di a = 2f(x) = x^3 – 18

f(x) = 3/x ⇒f(1) = 3/1 = 3

f '(x) = -3/x² ⇒f '(1) = -3/1² = -3

f "(x) = 6/x³ ⇒f "(1) = 6/1³ = 6

f "'(x) = -18/x^4 ⇒f "'(1) = -18

f ""(x) = 72/x^5 ⇒f ""(1) = 72, dst

Maka,

f(x) = 3 + (-3)/1! + 6/2! (2-1) + (-18)/3! (2-1)² + 72/4! (2-1)³ + ……. ≈ 3/2 = 1,5