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Nilai limit as x rightwards arrow 2 of fraction numerator left parenthesis x plus 3 right parenthesis left parenthesis x minus 2 right parenthesis over denominator x squared minus 4 end fraction adalah ...

S. Yoga

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Jawaban

nilai limit as x rightwards arrow 2 of fraction numerator left parenthesis x plus 3 right parenthesis left parenthesis x minus 2 right parenthesis over denominator x squared minus 4 end fraction adalah 5 over 4.

Pembahasan

Mencari nilai limit:

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow thin space 2 of fraction numerator open parentheses x plus 3 close parentheses open parentheses x minus 2 close parentheses over denominator x squared minus 4 end fraction end cell equals cell limit as x rightwards arrow thin space 2 of fraction numerator open parentheses x plus 3 close parentheses open parentheses x minus 2 close parentheses over denominator open parentheses x minus 2 close parentheses open parentheses x minus 2 close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow thin space 2 of space fraction numerator x plus 3 over denominator x plus 2 end fraction end cell row blank equals cell fraction numerator 2 plus 3 over denominator 2 plus 2 end fraction end cell row blank equals cell 5 over 4 end cell end table 

Jadi, nilai limit as x rightwards arrow 2 of fraction numerator left parenthesis x plus 3 right parenthesis left parenthesis x minus 2 right parenthesis over denominator x squared minus 4 end fraction adalah 5 over 4.

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