Consider f(x)=∑n=0∞(−1)nxnn+1f(x) = \sum_{n=0}^{\infty} \frac{(-1)^n x^n}{n+1}f(x)=∑n=0∞n+1(−1)nxn for ∣x∣<1|x| < 1∣x∣<1. As x→1−x \to 1^-x→1−, what is the behavior of f(x)f(x)f(x)?
f(x)→0f(x) \to 0f(x)→0
f(x)→ln(2)f(x) \to \ln(2)f(x)→ln(2)
f(x)→+∞f(x) \to +\inftyf(x)→+∞
f(x)f(x)f(x) oscillates without limit