Question

x²+2x+1/x^4-3x+1

高数求极限问题寻求帮助
Lim （x趋于无穷大）x的平方-1/2x的平方-x+1求极限
Lim （x趋于无穷大）x的平方+x/x的4次方-3x+1求极限

Answer 1

1.原式=lim(x->∞)[(x²-1)/(2x²-x+1)]
=lim(x->∞)[(1-1/x²)/(2-1/x+1/x²)]
=(1-0)/(2-0+0)
=1/2;
2.原式=lim(x->∞)[(x²+x)/(x^4-3x+1)]
=lim(x->∞)[(1/x²+1/x³)/(1-3/x³+1/x^4)]
=(0+0)/(1-0+0)
=0.