=lim(n—无穷大) [(1/2)·(2/5)·(3/8)·……·( n/(3n-1) ) ] 一方面,i/(3i-1) ≤ 1/2,(i为正整数) 则 (1/2)·(2/5)·(3/8)·……·( n/(3n-1) ) 1/3, 则 (1/2)·(2/5)·(3/8)·……·( n/(3n-1) ) >(1/3)^n 而lim(n—无穷大) (1/3)^n =0. 因此根据夹逼法则,原极限=0