企源知识库

极限lim_x→∞[(2n-1)⁵•(3n-5)⁴]/(2n+1)⁹=_____.
【正确答案】：(3/2)⁴ 分析：lim_n→∞[(2n-1)⁵•(3n-5)⁴/(2n+1)⁹] =lim_n→∞(2-1/n)⁵•(3-5/n)⁴/(2+1/n)⁹ =2⁵•3⁴/2⁹=（3/2）⁴