这道关于极限的题怎么求速来

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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-16zaidairujike=lim(√t-4)/(t

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