f(x)=x∧2 sinx展开为x的幂级数,其含x∧7项的系数

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f(x)=x∧2sinx展开为x的幂级数,其含x∧7项的系数f(x)=x∧2sinx展开为x的幂级数,其含x∧7项的系数f(x)=x∧2sinx展开为x的幂级数,其含x∧7项的系数g(x)=sinxg

f(x)=x∧2 sinx展开为x的幂级数,其含x∧7项的系数
f(x)=x∧2 sinx展开为x的幂级数,其含x∧7项的系数

f(x)=x∧2 sinx展开为x的幂级数,其含x∧7项的系数
g(x) = sinx
g'(x) = cosx
g''(x) = -sinx
g'''(x)= -cosx
g''''(x) = sinx
g'''''(x) = cosx
g(x) = g(0) +(g'(0)/1!)x +(g''(0)/2!)x^2+.
f(x) = x^2.sinx
= g(0) x^2+(g'(0)/1!)x^3 +(g''(0)/2!)x^4+.
coef.of x^7
=g^(5)(0)/5!
=1/5!
=1/120