微积分!极限!英文题干!
f(x)=5x4-4x3+6x2-3x+2andg(x)=5x4showthatwhilefandgarequitedifferentfornumericallysmal...
f(x)=5x4-4x3+6x2-3x+2 and g(x)=5x4 show that while f and g are quite different for numerically small values of x,they are virtually identical for |x| large.
(ps:所有x后面的数字代表x次方!!!) 展开
(ps:所有x后面的数字代表x次方!!!) 展开
1个回答
2009-09-07
展开全部
When x tends to 0, f(x)=2 and g(x)=0.
When x tends to infinity, f(x)/g(x)=1-(4/5)x^(-1)+(6/5)x^(-2)-(3/5)x^(-3)+2/5x(-4)=1
When x tends to infinity, f(x)/g(x)=1-(4/5)x^(-1)+(6/5)x^(-2)-(3/5)x^(-3)+2/5x(-4)=1
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