作业帮这道关于极限的题怎么求速来
来源：学生作业帮助网 编辑：作业帮 时间：2024/08/05 11:10:48
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这道关于极限的题怎么求速来
这道关于极限的题怎么求速来
这道关于极限的题怎么求速来
上下乘以根号t+4,再把分母因式分解为（x-16)(x+1)消去x-16
zai dairu jike
=lim(√t-4)/(t-16)(t+1)
=lim(t-16)/[(t-16)(t+1)(√t+4)
=lim1/[(t+1)(√t+4)
=1/136
(√t-4)/(t^2-15t-16)
=(√t-4)/((t-16)*(t+1))
=(√t-4)/(√t-4)(√t+4)(t+1))
=1/((√t+4)(t+1))
将 t=16 代入后
=1/（8*17）
=1/136
