lim√[(3n^2)+1]/(7n+1)=?
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lim√[(3n^2)+1]/(7n+1)=?lim√[(3n^2)+1]/(7n+1)=?lim√[(3n^2)+1]/(7n+1)=?lim√(3n²+1)/(7n+1)asx->∞=l
lim√[(3n^2)+1]/(7n+1)=?
lim√[(3n^2)+1]/(7n+1)=?
lim√[(3n^2)+1]/(7n+1)=?
lim √(3n²+1)/(7n+1) as x->∞
= lim [√(3n²+1)/n]/[(7n+1)/n],上下除以n
= lim √[(3n²+1)/n²]/[(7n+1)/n]
= lim √(3+1/n²)/(7+1/n)
= √(3+0)/(7+0)
= √3/7
分子分母同除以n:
lim
=lim
=lim
lim
=√3 / 7
lim√[(3n^2)+1]/(7n+1)=?
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