The Maclaurin series of a differentiable function begins g(x)=3+0 x+ 5 24 x^ 4 +

MATHEMATICS · Subjective · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

The Maclaurin series of a differentiable function gg begins g(x)=3+0⋅x+524x4+⋯ .g(x)=3+0\cdot x+\frac{5}{24}x^{4}+\cdots. Explain what the coefficient 524\frac{5}{24} implies about g(4)(0)g^{(4)}(0) and state that value.

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