Matematika

Pertanyaan

limit x->3 √2x+3 - √4x-3 / 3-x

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    lim(x->3) √(2x+3) - √(4x-3) /(3-x)
    lim(x->3) [(2x+3)¹/² - (4x-3)¹/²] / (3 - x)

    = 1/2 (2) (2x+3)⁻¹/²  -(1/2 (4)(4x-3)⁻¹/2 )  /(-1)
    = - [(2x +3)⁻¹/² - 2(4x-3)⁻¹/²]
    x= 3
    = -[(9)⁻¹/²  - 2(9)⁻¹/²]
    = - [ 1/3 - 2/3]
    = 1/3

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