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| 2017/06/06 01:48:54瀏覽33｜回應0｜推薦0 | |
| 標題: questions about limit...
此文章來自奇摩知識+如有不便請留言告知 發問:gives a function f(x), a point x0, and a positive number (epsilon). find L = lim (x>x0) f(x). then find a number (delta)>0 such that for all x 0 < |x-x0| < (delta) ==> |f(x)-L| < (epsilon) f(x) = 3-2x, x0=3, (eplison)=0.02 最佳解答: f(x) = 3-2x, x0=3, ε=0.02 L=lim (x>x0) f(x)=-3 Want to find δ > 0 such that 0 < |x-x0| < δ ==> |f(x)-L| < ε or 0 < |x-3| < δ ==> |f(x)+3| < 0.02 from |f(x)+3| < 0.02 ?|3-2x+3|<0.02 ? -0.02<6-2x<0.02 ?2.99 其他解答: |
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