(Solved): Please answer both correctly as they are together. Use the definition of Taylor series to find the ...

Please answer both correctly as they are together.

Use the definition of Taylor series to find the first three nonzero terms of the Taylor series (centered at \( c \) ) for the function \( f \). \[ f(x)=6 \tan x, c=4 \pi \] \[ f(x)= \] Show My Work (Optional) LARCALC119.10.021. Use the binomial series to find the Maclaurin series for the function. (Use \( \frac{(2 n) !}{2^{n} n !} \) for \( 1 \cdot 3 \cdot 5 \cdots(2 n-1) \).) \[ f(x)=\frac{1}{\sqrt{1-x^{7}}} \]