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Alfi asked in Sains & MatematikaMatematika · 9 years ago

lim x->2 (akar x+1 - akar 9-3x)/x-2?

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    KArena apabila x dimasukkan hasilnya 0/0... maka dan karena ada akarnya maka pakai rumus sekawan!

    √x+1 - √9-3x)/x-2 dikali dengan (√x+1) + (√9-3x) / (√x+1) + (√9-3x)

    hasilnya

    x+1 - ( 9-3x) / (x-2) . (√x+1) + (√9-3x)

    kemudian

    x+1 - 9+3x / (x-2) . (√x+1) + (√9-3x)

    kemudian

    4x-8 / (x-2) . (√x+1) + (√9-3x)

    kemudian kkeluarkan 4 dari 4x-8

    4(x-2) / (x-2) . (√x+1) + (√9-3x)

    kemudian coret X-2 pembilang dengan penyebut

    maka

    4 / (√x+1) + (√9-3x)

    Sudah selesai tinggal masukkan lim x->2

    4 / (√(2)+1) + (√9-3(2))

    dan hasilnya adalah 2√3 / 3

    Source(s): Pensil!!!!
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