问题标题：
lim[cos(a/x)]^(x^2)x趋近于无穷大时求极限值
问题描述：
lim[cos(a/x)]^(x^2)x趋近于无穷大时求极限值
韩明回答：
lim[cos(a/x)]^(x^2)
=lime^[x^2*lncos(a/x)]
=e^{limx^2[cos(a/x)-1]}
=e^{limx^2[-(a/x)^2/2]}
=e^[lim-a^2/2]
=e^(-a^2/2)
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