Tentukan limit berikut ini, jika ada: a.

Pertanyaan

Tentukan limit berikut ini, jika ada:

a. $begin mathsize 14px style limit as x rightwards arrow 3 to the power of minus of fraction numerator x squared minus 9 over denominator x minus 3 end fraction end style$ $space$

Pembahasan Soal:

Untuk menyelesaikan limit tersebut, gunakan cara pemfaktoran

$begin mathsize 14px style open parentheses x squared minus 9 close parentheses equals left parenthesis x minus 3 right parenthesis left parenthesis x plus 3 right parenthesis end style$

Diperoleh

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 3 to the power of minus of fraction numerator x squared minus 9 over denominator x minus 3 end fraction end cell equals cell limit as x rightwards arrow 3 to the power of minus of fraction numerator open parentheses x minus 3 close parentheses open parentheses x plus 3 close parentheses over denominator x minus 3 end fraction end cell row blank equals cell limit as x rightwards arrow 3 to the power of minus of x plus 3 equals 3 plus 3 equals 6 end cell end table end style$

Jadi, nilai $begin mathsize 14px style limit as x rightwards arrow 3 to the power of minus of fraction numerator x squared minus 9 over denominator x minus 3 end fraction end style$ adalah $undefined$ $undefined$

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 13 Maret 2021

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