1) let f(x) be a function with the following properties: i. f(0)=1
ii. For all integers n >= 0, the nth derivative, f^(n)(x)=(-1)^(n)a^(n)f(x), where a > 0 & a doesnt equal 0, in terms of a
A) write the first fur non zero terms and the general term of the power series of f(x) centered at zero, in terms of a