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Use polar corrdinates to find the limit.[If(r, θ)are polar corrdinates of the point (x,y)
with r>=0,note that r -> 0^+ as (x,y)->(0,0).]

1. lim (x,y)->(0,0) x^3+y^3 / x^2+y^2

2. lim (x,y)->(0,0) (x^2+y^2)ln(x^2+y^2)

3. lim(x,y)->(0,0) e^(-x^2-y^2) -1 / x^2 +y^2

我看了詳解看不太懂，像第一題詳解寫= lim r->0^+ (rcos^3 θ)+ (rsin^3 θ ) / r^2
= lim r->0^+ (rcos^3 θ)+ (rsin^3 θ )
=0
完全看不懂

另一是在例題的題目 lim(x,y)->(0,0) 3x^2y/ x^2+y^2 If it exists.

有誰可以"教"我呢 越"詳細"越好 ~ 可以的話我需要的是考試解題技巧拉

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