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Nilai

Pertanyaan

Nilai limit as x rightwards arrow 4 of fraction numerator x squared minus 3 x minus 4 over denominator x minus 4 end fraction equals...

Pembahasan Soal:

Subtitusikan nilai x,

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 4 of fraction numerator x squared minus 3 x minus 4 over denominator x minus 4 end fraction end cell equals cell fraction numerator 4 squared minus 3 left parenthesis 4 right parenthesis minus 4 over denominator 4 minus 4 end fraction end cell row blank equals cell fraction numerator 16 minus 12 minus 4 over denominator 0 end fraction end cell row blank equals cell fraction numerator 16 minus 16 over denominator 0 end fraction end cell row blank equals cell 0 over 0 end cell end table

Karena hasilnya 0 over 0 maka cari dengan memfaktorkan persamaan kuadrat,

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 4 of fraction numerator x squared minus 3 x minus 4 over denominator x minus 4 end fraction end cell equals cell limit as x rightwards arrow 4 of fraction numerator up diagonal strike left parenthesis x minus 4 right parenthesis end strike left parenthesis x plus 1 right parenthesis over denominator up diagonal strike x minus 4 end strike end fraction end cell row blank equals cell limit as x rightwards arrow 4 of left parenthesis x plus 1 right parenthesis end cell row blank equals cell 4 plus 1 end cell row blank equals 5 end table

Jadi, nilai limit as x rightwards arrow 4 of fraction numerator x squared minus 3 x minus 4 over denominator x minus 4 end fraction adalah 5.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 04 Juni 2021

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