Tentukan nilai limit berikut: a. ....

Pertanyaan

Tentukan nilai limit berikut:

a. $begin mathsize 14px style limit as x rightwards arrow infinity of square root of 7 x plus 21 end root minus square root of 7 x minus 14 end root equals end style$ ....

Pembahasan Soal:

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell limit as x rightwards arrow infinity of open parentheses square root of 7 x plus 21 end root minus square root of 7 x minus 14 end root close parentheses times fraction numerator square root of 7 x plus 21 end root plus square root of 7 x minus 14 end root over denominator square root of 7 x plus 21 end root plus square root of 7 x minus 14 end root end fraction end cell row blank blank blank row blank equals cell limit as x rightwards arrow infinity of fraction numerator left parenthesis 7 x plus 21 right parenthesis minus left parenthesis 7 x minus 14 right parenthesis over denominator square root of 7 x plus 21 end root plus square root of 7 x minus 14 end root end fraction end cell row blank equals cell limit as x rightwards arrow infinity of fraction numerator 35 over denominator square root of 7 x plus 21 end root plus square root of 7 x minus 14 end root end fraction end cell row blank equals cell limit as x rightwards arrow infinity of fraction numerator begin display style fraction numerator 35 over denominator square root of x end fraction end style over denominator square root of begin display style fraction numerator 7 x over denominator x end fraction end style plus begin display style 21 over x end style end root plus square root of begin display style fraction numerator 7 x over denominator x end fraction end style minus begin display style 14 over x end style end root end fraction end cell row blank equals cell fraction numerator 0 over denominator 2 square root of 7 end fraction equals 0 end cell row blank blank blank row blank blank blank end table end style$

Jadi, nilai dari limit tersebut adalah 0.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 02 Maret 2021

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