Maclaurin Series of a Composite Function

Question

Which of the following statements correctly describes the relationship between the Maclaurin series for $$\sin(2x)$$ and the Maclaurin series for $$\sin(x)$$?

Accepted Answer

The coefficients are the same, but each $$x$$ term is replaced by $$2x$$

Answer

The coefficients are doubled, and each $$x$$ term remains unchanged

Answer

The coefficients are halved, and each $$x$$ term is replaced by $$2x$$

Answer

The series alternates between positive and negative terms, unlike $$\sin(x)$$

Maclaurin Series of a Composite Function

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