Taylor/Maclaurin Series & Taylor Polynomials

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Tags

CCSS.HSA.SSE.B.3

• sin x

• cos x

• 1/(1-x)

• 1/(1+x)

• e^x

This is the Maclaurin series for

• cos(x)

• e^x

• sin(x)

• e^-x

This is the Maclaurin series for

• e^x

• 1/(1-x)

• ln(1-x)

• 1/(1+x)

This is the Maclaurin series for

• 1/(1-x)

• e^x

• e^-x

• 1/(1+x)

• -2/3

• -4/3

• 4/3

• -8/3

• 2/3

• 1/4

• -1

• 1/2

• -2

• 1

• A

• B

• C

• D

What is the coefficient for x⁴ in the Maclaurin series for sin(3x)?

• 0

• 3

• $-\frac{27}{8}$

• $\frac{27}{8}$

What is the coefficient for  $x^5$  in the Maclaurin series for sin(3x)?

• 0

•  $\frac{3}{5!}$  

•  $-\frac{3}{5!}$  

•  $\frac{3^5}{5!}$