[微積] 微積分題目 我不知道我怎麼表示

[coilion9670 (白熊)]

Show by means of an example that lim x->a [f(x)+g(x)] may exist even though
neither lim x->a f(x) nor lim x->a g(x) exists.

感謝各位大哥大姐為我解析一下

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推 goshfju     :x->0 , f(x)=g(x)=1/x 我承認我懶得想例子..XD
推 infinity99V :f(x) = 1 / (x-a), g(x) = -f(x)不知道對不對
推 goshfju     :喔 我少個負號這樣 XD