If f(x)=∑n=0∞anxnf(x) = \sum_{n=0}^{\infty} a_n x^nf(x)=∑n=0∞anxn satisfies f′(x)=2xf(x)f'(x) = 2x f(x)f′(x)=2xf(x) with f(0)=1f(0)=1f(0)=1, what is a2a_2a2?
111
222
000
1/21/21/2