Consider f(x)=limn→∞ln(1+xn)nf(x) = \lim_{n \to \infty} \frac{\ln(1+x^n)}{n}f(x)=limn→∞nln(1+xn) for x>0x > 0x>0. What is f(x)f(x)f(x)?
000 if x≤1x \leq 1x≤1, lnx\ln xlnx if x>1x > 1x>1
lnx\ln xlnx
000
xxx