For real numbers k, let
L(k)=x→∞limexxk.
Which of the following correctly describes L(k)?
a) L(k)=0 only when k>0.
b) L(k)=∞ when k>1 and 0 otherwise.
c) L(k)=0 for every real k.
d) L(k) does not exist for any real k because the expression oscillates.