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Tentukan nilai limit fungsi berikut!

Tentukan nilai limit fungsi berikut!

begin mathsize 14px style limit as x rightwards arrow 2 of space fraction numerator 3 x plus 2 over denominator square root of x squared plus 7 x minus 2 end root end fraction end style 

Jawaban:

Dengan menerapkan penyelesaian limit dengan metode substitusi, diperoleh perhitungan sebagai berikut.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 2 of space fraction numerator 3 x plus 2 over denominator square root of x squared plus 7 x minus 2 end root end fraction end cell equals cell fraction numerator 3 open parentheses 2 close parentheses plus 2 over denominator square root of 2 squared plus 7 open parentheses 2 close parentheses minus 2 end root end fraction end cell row blank equals cell fraction numerator 6 plus 2 over denominator square root of 4 plus 14 minus 2 end root end fraction end cell row blank equals cell fraction numerator 8 over denominator square root of 16 end fraction end cell row blank equals cell 8 over 4 end cell row blank equals 2 end table end style 

Jadi, nilai dari begin mathsize 14px style limit as x rightwards arrow 2 of space fraction numerator 3 x plus 2 over denominator square root of x squared plus 7 x minus 2 end root end fraction end style adalah 2.

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