[微積] 幾題微積分(已解決)
抱歉 小弟資質駑鈍
又要向板上各位高手請教
又有鑒於轉學考之期不遠矣
所以這次直接把所有一直想不通的題目PO上來
1~3題講方法就好了
π
1. lim (——-x)tan x
π 2 ===> 已算出來
x→----
2
dx √2 dx
2. ∫--------- ===>已解決 3. ∫ --------------- ===>已解決
2 + √x 1 2 ＿＿＿
x √4-x^2
1 1 1 1
4. lim （------- + ------- + -------- + ... + ------ ) =
n→∞ n + 1 n + 2 n + 3 2n
不知道是不是跟夾擠有關?
===>已解決
2
5.The shortest distance between the parabola y=x and the point (6,3) is ____
===>已解決
6.
╭ ----------------------- ----------------------- ╮
｜ / /－－－－－－－ / /－－－－－－－ ｜
｜ / 1 / 1 －－－ － / 1 / 1 －－－ ｜
lim ｜ / -----+ /----- + / 1 / ----- － /----- + / 1 ｜
x→0 +╰ \/ x \/ x \/ ------ \/ x \/ x \/ ------ ｜
x x ╯
這題毫無頭緒= = 抱歉眼殘看成趨近於無限- -
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