求极限 当x趋向+∞时,lim(π/2·arctanx)^x不好意思 括号里是 2/π乘以arctanx

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求极限 当x趋向+∞时,lim(π/2·arctanx)^x不好意思 括号里是 2/π乘以arctanx
求极限 当x趋向+∞时,lim(π/2·arctanx)^x
不好意思 括号里是 2/π乘以arctanx

求极限 当x趋向+∞时,lim(π/2·arctanx)^x不好意思 括号里是 2/π乘以arctanx
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你题目没问题吧,极限是+∞
lim(π/2·arctanx)^x
=lim e^ln(π/2·arctanx)^x
=e^lim ln(π/2·arctanx)^x(e为常数)
=e^lim x*ln(π/2·arctanx)(x趋向+∞,ln(π/2·arctanx)趋向ln(π/2)^2)
=+∞(x趋向+∞,ln(π/2·arctanx)趋向ln(π/...

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你题目没问题吧,极限是+∞
lim(π/2·arctanx)^x
=lim e^ln(π/2·arctanx)^x
=e^lim ln(π/2·arctanx)^x(e为常数)
=e^lim x*ln(π/2·arctanx)(x趋向+∞,ln(π/2·arctanx)趋向ln(π/2)^2)
=+∞(x趋向+∞,ln(π/2·arctanx)趋向ln(π/2)^2)
你题目看错了,应该是π/(2·arctanx),一楼就是这种情况的解法

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