express tan(x) as a power series using maclauran's theorem.

Question

the theorem states that if f(x) can be expanded as a power series for a given range of values of x then:

$$f(x)=f(0)+xf'(0)+\frac{x^2}{2!}f''(0)+\frac{x^3}{3!}f'''(0)+\cdots$$

($'$ means derivative) if $f(x)=\tan(x)$, what is the power series?

Answer 1

The right name of the theorem -> Taylor-McLaurin

How to format equations on M.SE -> Mathjax

And an answer to your question (given by googling "mclaurin tan") -> here (where $B_n$ is the $n$-th Bernoulli number)