Page 45 - Pra U STPM 2022 Penggal 2 - Mathematics
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ANSWERS




                            1   Limits and Continuity              (c)    y            (d)          y
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                Exercise 1.1
                  1.  (a)  6           (b)  4
                   (c)  3              (d)  –3                                                     1
                  2.  (a)   1          (b)  7                           0          x                    x
                       4                  3                                                     –1  0
                        1
                   (c)  –              (c)  6                         continuous          continuous
                        2
                  3.  (a)  1           (b)  3                      (e)      y          (f)    y
                   (c)   1             (d)  1
                       2                  3
                  4.  (a)  3    (b)  1       (c)  4
                   (d)  ∞       (e)   15     (f)  2                     –1 0       x          0  1     x
                                    4           5                                           –2
                  5.  (a)   1          (b)  –1
                       5
                  6.  (a)  –1   (b)  1       (c)  does not exist      continuous          not continuous
                                                                  4.  (a)  1, –1; Not continuous
                  7.  (a)  9    (b)  –10     (c)  –1               (b)
                   (d)  5       (e)  does not exist                       y
                  8.  (a)  2    (b)  2       (c)  2
                   (d)  2       (e)  –3      (f)  does not exist         1
                Exercise 1.2                                                     5   x
                  1.
                                                                        –1
                        f(x )

                                                                   (c)  does not exist
                                 x                                5.  (a)  does not exist;  f is not continuous
                     _ π  0  π _
                    –                                              (b)
                     2       2                                           y
                                                                        5
                     continuous
                  2.   f(x)

                     2                                                              x
                                                                         0
                                                                        –1
                     1

                      0
                     1            x
                    – –  1   2  3
                     4                                            6.  Yes
                     continuous                                          y
                  3.  (a)              (b)   y                          1
                                                                        2
                       y                                                                        x
                                                                        1 0  1    2  3   4   5
                                                                      –
                                                         x              2
                                     x     0          π                –1
                       0    π     2π

                      continuous          not continuous






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         Ans STPM Math T Term2.indd   195                                                              28/01/2022   5:52 PM
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