Pertanyaan

Nilai x → ∞ lim ( 25 x 2 + 10 x − 6 − 5 x − 2 ) = ....

Nilai $x \to \infty lim (25 x^{2} + 10 x - 6 - 5 x - 2) = ....$

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Jawaban terverifikasi

Jawaban

Nilai

begin mathsize 12px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as straight x rightwards arrow infinity of left parenthesis square root of 25 straight x squared plus 10 straight x minus 6 end root minus square root of 25 straight x squared plus 20 straight x plus 4 end root end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 1 end table end style

Pembahasan

LImit tak hingga fungsi aljabar bentuk akar. Ingat : maka : Jadi, Nilai

LImit tak hingga fungsi aljabar bentuk akar.

Ingat :

$begin mathsize 12px style limit as straight x rightwards arrow infinity of left parenthesis square root of ax squared plus bx plus straight c end root minus square root of px squared plus qx plus straight r end root equals open curly brackets table attributes columnalign left end attributes row cell infinity comma space straight a greater than straight p end cell row cell fraction numerator straight b minus straight q over denominator 2 square root of 25 end fraction comma space straight a equals straight p end cell row cell negative infinity comma straight a less than straight p end cell end table close end style$

maka :

$table attributes columnalign right center left columnspacing 0px end attributes row cell limit as straight x rightwards arrow infinity of left parenthesis square root of 25 straight x squared plus 10 straight x minus 6 end root minus square root of 25 straight x squared plus 20 straight x plus 4 end root end cell equals cell fraction numerator 10 minus 20 over denominator 2 square root of 25 end fraction end cell row blank equals cell fraction numerator negative 10 over denominator 2 times 5 end fraction end cell row blank equals cell fraction numerator negative 10 over denominator 10 end fraction end cell row blank equals cell negative 1 end cell end table$

Jadi, Nilai

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