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VED1
          E\L-LOVELY-H\math2-2 IInd 6-8-11 IIIrd  24-1-12 IVth 21-4-12 Vth 20-8-12 VIth  10-9-12



          vFkZ'kkfL=k;ksa dk xf.kr




                   uksV         ∴     9    9      ls]
                                                            :     ; -  :     8 -  : -

                                vr%   :   ij      larr gSA


                                                                 iz'ukoyh 2-2


                                fuEufyf[kr iQyuksa esa ls izR;sd osQ fy, vlkarR;                 osQ fcUnq] ;fn dksbZ gS rks Kkr
                                dhft, vkSj ys[kkfp=k [khafp,µ
                                             −  1, x ≤  0
                                   "      :                                #"      : P  8   P
                                             +  1, x >  0.
                                  )"      : P   P ; P   8   P

                                      fn[kkb, fd fuEu iQyuksa esa ls izR;sd vius lEeq[k n'kkZ;s fcUnqvksa ij larr gS%

                                  '" iQyu      :    8 %  ;  9   :  9   ijA
                                              1  , x ≠−  2
                                   "      :    x +  2
                                            
                                              0, x =− 2
                                                 x −  4,       x ≥  5

                                  +" ;fn      :  
                                                5x −  24,     x <  5

                                      rks n'kkZb, fd     9   :   ij ,d larr iQyu gSA

                                   " fl¼ dhft, fd iQyu      tgk¡
                                                          x −   1, x <  2
                                                        :  
                                                         2x −  3, x ≥  2

                                      gj fcUnq ij larr gSA iQyu dk ys[kkfp=k Hkh [khafp,A
                                      fuEu iQyuksa osQ lkarR; dk ijh{k.k dhft,µ
                                             x −  4 , x ≠  2                       x 2  − a 2  ,  x  ≠ a
                                              2
                                            
                                                                                    
                                   "      :    x − 2                        "      :   x  − a
                                                                                   
                                             4,     x = 2                            2, a   x  = a
                                             x 2 , x ≠ 1                             , xx ≥  0
                                  %"      :                                "      :    2
                                             2, x = 1                               x  , x <  0.

                                             1 , x ≠0                               |x −  3| ,  x ≠  3
                                            
                                                                                    
                                  #"      :  x                             )"      :    x −  3
                                            
                                             3,  x = 0                                0,    x =  3.
                                            
                                                                                    
                                                                                       1
                                             −  x 2 , x ≤  0                              , x ≠  0
                                  '"      :                                "      :  1 − e 1/ x
                                                                                    
                                             x 2 , x >  0                          
                                                                                     0,      x =  0
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