A function f(x)f(x)f(x) is defined by the infinite series f(x)=∑n=0∞(x2)nf(x) = \sum_{n=0}^{\infty} (\frac{x}{2})^nf(x)=∑n=0∞(2x)n for ∣x∣<2|x| < 2∣x∣<2. What is the value of f(1)f(1)f(1)?
444
0.50.50.5
222
111