Tentukan nilai dari

Pertanyaan

Tentukan nilai dari $begin mathsize 14px style limit as x rightwards arrow 2 of invisible function application square root of fraction numerator x squared plus 3 x plus 4 over denominator x cubed plus 1 end fraction end root end style$

Pembahasan Video:

Pembahasan Soal:

Substitusi $begin mathsize 14px style x equals 2 end style$

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow 2 of square root of fraction numerator x squared plus 3 x plus 4 over denominator x cubed plus 1 end fraction end root end cell row blank equals cell square root of fraction numerator 2 squared plus 3 times 2 plus 4 over denominator 2 cubed plus 1 end fraction end root end cell row blank equals cell square root of 14 over 9 end root end cell row blank equals cell fraction numerator square root of 14 over denominator square root of 9 end fraction end cell row blank equals cell fraction numerator square root of 14 over denominator 3 end fraction end cell row blank equals cell 1 third square root of 14 end cell end table end style$

Jadi, $begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow 2 of end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of fraction numerator x squared plus 3 x plus 4 over denominator x cubed plus 1 end fraction end root end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 1 third end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of 14 end cell end table end style$ .

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 12 April 2021

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