lim(x→0)[tan(2x+x^3)/sin(x-x^2)] 和lim(x→0)[(x-sinx)/(x+sinx)
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lim(x→0)[tan(2x+x^3)/sin(x-x^2)] 和lim(x→0)[(x-sinx)/(x+sinx)]的答案和解法
如果错了请教教我怎麽解和解的过程.
如果错了请教教我怎麽解和解的过程.
第一题利用等价无穷小法则
lim(x→0)[tan(2x+x^3)/sin(x-x^2)]
=lim(x→0)[(2x+x^3)/(x-x^2)]=0
第二题分子分母同时除以x
lim(x→0)[(x-sinx)/(x+sinx)]
=lim(x→0)[(1-(sinx/x))/(1+(sinx/x))]然后利用等价无穷小
=lim(x→0)[(1-1)/(1+1)]=0
lim(x→0)[tan(2x+x^3)/sin(x-x^2)]
=lim(x→0)[(2x+x^3)/(x-x^2)]=0
第二题分子分母同时除以x
lim(x→0)[(x-sinx)/(x+sinx)]
=lim(x→0)[(1-(sinx/x))/(1+(sinx/x))]然后利用等价无穷小
=lim(x→0)[(1-1)/(1+1)]=0
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