微甲題目

[thirddawn (三色黎明)]

2.2
6.給你一張圖問你各極限的值(sorry我無法)

27.determine the infinite limit
           x-1
lim   -----------
x->-2+     x^2(x+2)      (x趨近於-2正)

32a.Find the vertical asymptotes(垂直漸進線...應該是啦) of the function
       x
y = ---------
     x^2-x-2

2.3
10.(a) What is wrong with the following equation?
    x^2+x-6
-------------- = x+3
     x-2
(b)In view of part(a), explain why the equation
      x^2+x-6
lim  --------- = lim  (x+3)
x->2   x-2       x->2
is correct

49.(a)If the symbol [[ ]] denotes the greatest integer function defined in
Example 10, evaluate
(i)lim  [[x]]              (ii)  lim [[x]]            (iii) lim [[x]]
   x->-2+                        x->-2                      x->-2.4
(b) If n is an integer, evaluate
(i) lim [[x]]              (ii)  lim [[x]]
    x->n-                        x->n+
(c)For what values of a does lim [[x]] exist?
                             x->a

54. If r is a rational function, use Exercise 53 to show that lim r(x)=r(a)
                                                              x->a
for every number a in the domain of r.

2.5

40.Find the constant c that makes g continuous on (-無限,無限) (不會打...)
      x^2-c^2 if x<4
g(x)=
      cx+20   if x>=4

52(a).Prove that the equation has at least one real root
                     1
(x-5)^1/2       =-----------
(x-5的開根號)       x+3

大概就這樣...大家加油...

--
※ 發信站: 批踢踢實業坊(ptt.cc) 
◆ From: 210.58.163.27
推 wkilont:感激不盡
推 alex1025:感謝...
推 luyota:THX...:)
推 gomibako:感激    糟糕...還有一個普物沒課本＠＠
推 thirddawn:能力外了...抱歉
推 Sinze:感恩
推 astralbeams:好人
推 phymach:推阿   太感謝你了   你是好人...  回答是要用中文or英文?