Find the Maclaurin series for the function. (Use the table of power series for elementary functions.)

f(x) = cos 6x

Find the Maclaurin series for the function. (Use the table of power series for elementary functions.)

f(x) = e^x3/3

Find the Maclaurin series for the function. (See the Multiplication and Division of Power Series Example.)

f(x) = x⁴ sin(x)

Use the definition of Taylor series to find the Taylor series (centered at c) for the function.

f(x) = ln(x), c = 1