Matematika

Pertanyaan

tolong di bantu buat besok
tolong di bantu buat besok

2 Jawaban


  • [tex]1. \: \frac{3 - {(3x - 3)}^{ \frac{1}{2} } }{ {x}^{2} + x - 20} = \frac{ - \frac{1}{2} {(3x - 3)}^{ - \frac{1}{2}}.3 }{2x + 1} = \frac{ - \frac{3}{2}. {9}^{ - \frac{1}{2} } }{9} = \frac{ - \frac{1}{2} }{9} = - \frac{1}{18} [/tex]
    no.2 sama caranya dengan no.1 ( lakukan operasi turunan dulu)
  • no 1
             3 - (3x - 3)¹/²              -1/2. 3(3x - 3)⁻¹/²
    lim    -----------------  =  lim   ---------------------
    ˣ →⁴   x² + x - 20         ₓ→₄        2x + 1
                             
                                        -3/2 (3(4)- 3)⁻¹/²
                                    = ------------------------
                                              2(4) + 1

                                        -3/2 (9)⁻¹/²
                                    = ---------------
                                              9
                                       
                                    = - 1/2 x 1/9
                                    = - 1/18
    no 2
                  x² - 16                                   2x
    lim  ---------------------   =  lim   ------------------------
    ₓ→₄   1 - (x - 3)¹/²           ₓ→₄      - 1/2 (x - 3)⁻¹/²

                                                  2(4)
                                       = --------------------
                                           - 1/2 (4 - 3)⁻¹/²
     
                                                    8
                                       = --------------------
                                                  - 1/2
                                       =  8 x (-2)
                                       = - 16