arctan(1/x^2)求x趋近于0的极限怎么求?

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arctan(1/x^2)求x趋近于0的极限怎么求?arctan(1/x^2)求x趋近于0的极限怎么求?arctan(1/x^2)求x趋近于0的极限怎么求?答:设1/x^2=tlim(x→0)arct

arctan(1/x^2)求x趋近于0的极限怎么求?
arctan(1/x^2)求x趋近于0的极限怎么求?

arctan(1/x^2)求x趋近于0的极限怎么求?
答:
设1/x^2=t
lim(x→0) arctan(1/x^2)
=lim(t→+∞) arctan(t)
=π/2