Limit Problem 1

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圖片參考：http://i1090.photobucket.com/albums/i376/Nelson_Yu/int2-5.jpg


2011-09-25 01:31:48 補充：
In the 4th last line, it should be :
This when -δ < x < 0....

In the 2nd last line, δ = [sqrt(1+4E) - 1]/2E

Consider (x+1)/(x^2) > (x)/(x^2) = 1/x for all x belongs to real number.
Now, since lim(x tend to 0) 1/x = inf.
hence, lim(x tend to 0) (x+1)/(x^2)= inf.