Page 9 - Math Grade 12 (Advance)
P. 9

PROEUS DARA





                ""'
              "'  ~61 (all)  :  a 1 ,  a 2 , a ,  •.• ,all, ...                    + 00  '1
                                3
                 1
                ""'
              "  ~61 (all)  : a , a ,  a ,  ..• ,  a , ...
                                     11
                                3
                          1
                             2
                 1
                                                            2
                                               &l:l ru  ull  =  - 3n - 2  ctl fi1611 R '1
                                                                     1
                                          2                2
                                 lim  (-3n -2) =  lim  (-3n )  = -00
                               ll-7  +oo         n-++=


                -   C»-      eJ(J_      2    3
                n.  ~.,  (a )  twru  all= n  -3n            2.  (Uil)
                         11
                     1
                          ""'  1!$   1!$   1!$  1!$   b   ..,
          2.    ii5 ~ ~ o £S G ns re t5 ~Gsa~~
          2.1.  L§~U9t~:




                 t~'i:flS fiin (a  )  Sob  (b )  &l:l bli'i:flS  lim  all  =  M  Sob   lim  b = N   t~Q1S :
                            11      11                                  11
                       1                       ll-7+oo           n-++=
                 lim  ka = kM  &l:lru  k  mt1sstrH
                n--=>+oo   11               lJ
                 lim  (an+ b )  = M + N  ,  lim  (a  - b )  = M- N
                ll-7 +oo   11           11-7  +oo   11  11
                                   ..,
             "   lim  (a b,) = MN, m N ::f:.  0  O:l"H   lim
                       11
               n-7+oo                            n-+  +oo
                  0   1  0
                n!tmtitiJ  :
                               3n + 1  5                         = 5n + 1  '1
                          ull  = --+-                2.  cull)  :  ull
                                 n    n2                           3n +2



                                            3n + 1
                                       v  =--
                                        11    n
                           3n + 1      1              l
                t~Q1S v  =  -- =  3+-     tt!Hti   lim  - =  o  &mg   lim  v = 3
                        11                                              11
                              n        n        n-++=11          n-++oo
                        lim  w =  lim  1  = 0
                       n-7+oo   11   n--t+oo  n2
                f:lmsg    lim  un  =  lim  vn +  lim  w,  =  3 + 0  =  3  '1
                 u      n-?+oo     n-7+oo    n -++ oo
                                                      1
                                                  5+-
                                    5n + 1            n   5
                2.   lim  u,  =  lim      =   lim       =   '1
                              11-?+oo  3n+ 2          2   3
                   n ->+ oo                 n-?+oo
                                                  3+-
                                                      n
          4
   4   5   6   7   8   9   10   11   12   13   14