APFIVE Power Series for a Composite Function
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?
A
The coefficients are divided by $$2^n$$ and the exponents are multiplied by 2
B
The coefficients remain the same and the exponents are multiplied by 2
C
Both the coefficients and exponents are multiplied by 2
D
The coefficients are multiplied by $$2^n$$ and the exponents remain the same
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