函数f(x)=xsinx(  )A.在(-∞,+∞)内有界B.当x→∞时为无穷大C.在(-∞,+∞)内无界D.当x→

2025-02-23 20:49:36
推荐回答(1个)
回答1:

取xk=
π
2
+2kπ,k∈N,显然
lim
k→∞
f(xk)=
lim
k→∞
(
π
2
+2kπ)=+∞
,答案A和D排除.
取xk=2kπ,k∈N,
lim
k→∞
f(xk)=0
,选项B排除.
故选 C