微积分!极限!英文题干!
问题描述：
微积分!极限!英文题干!
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!)
答
就是说要证明f(x)和g(x)当x较小时差别比较大,而当充分大的|x|两者基本上相同
令F(x)=f(x)/g(x)
则当x趋于0时有limF(x)=无穷大
则当|x|趋于0时有limF(x)=1