Power Series for a Composite Function

Question

Which of the following statements correctly compares the power series for $$\sin(2x)$$ to the power series for $$\sin(x)$$ in terms of their respective coefficients and exponents?

Accepted Answer

The coefficients are multiplied by $$2^n$$ and the exponents remain the same

Answer

Both the coefficients and exponents are multiplied by 2

Answer

The coefficients remain the same and the exponents are multiplied by 2

Answer

The coefficients are divided by $$2^n$$ and the exponents are multiplied by 2

Power Series for a Composite Function

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