A:614 C→ 10 e+ 514 B
B:614 C→ 24 He+ 410 Be
C:614 C→ −10 e+ 714 N
D:614 C→ 12 H+ 512 B
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已知函数f(x)=alnx﹣x+1(a∈R).
(1)求f(x)的单调区间;
(2)若f(x)≤0在(0,+∞)上恒成立,求所有实数a的值;
(3)证明:ln23+ln34+ln45+…+lnnn+1<nn-14(n∈N,n>1)