Math：求函数极限的几种方法
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（提示：0比0型未定式，用罗比达法则，把分子、分母分别求导数）
lim(cos5x-1+12.5x^2)
/
(x^4)
=lim(cos5x-1+12.5x^2)
'/(x^4)'
=lim(-5sin5x+25x)/(4x^3)
=lim(-5sin5x+25x)'/(4x^3)'
=lim(-25cos5x+25)/(12x^2)
=lim(-25cos5x+25)'/(12x^2)'
=lim(125sin5x)/(24x)
=lim(125sin5x)'/(24x)'
=lim(625cos5x)/24
=(625/24)*limcos5x
=(625/24)*1
=625/24
lim(cos5x-1+12.5x^2)
/
(x^4)
=lim(cos5x-1+12.5x^2)
'/(x^4)'
=lim(-5sin5x+25x)/(4x^3)
=lim(-5sin5x+25x)'/(4x^3)'
=lim(-25cos5x+25)/(12x^2)
=lim(-25cos5x+25)'/(12x^2)'
=lim(125sin5x)/(24x)
=lim(125sin5x)'/(24x)'
=lim(625cos5x)/24
=(625/24)*limcos5x
=(625/24)*1
=625/24
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