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Nilai dari  ...

Nilai dari limit as x rightwards arrow 10 of space fraction numerator x cubed minus 1000 over denominator x minus 10 end fraction equals ...

Jawaban:

Dengan menggunakan metode pemfaktoran, diperoleh:

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 10 of space fraction numerator x cubed minus 1000 over denominator x minus 10 end fraction end cell equals cell limit as x rightwards arrow 10 of space fraction numerator down diagonal strike open parentheses x minus 10 close parentheses end strike open parentheses x squared plus 10 x plus 100 close parentheses over denominator down diagonal strike x minus 10 end strike end fraction end cell row blank equals cell limit as x rightwards arrow 10 of space open parentheses x squared plus 10 x plus 100 close parentheses end cell row blank equals cell open parentheses 10 close parentheses squared plus 10 open parentheses 10 close parentheses plus 100 end cell row blank equals cell 100 plus 100 plus 100 end cell row blank equals 300 end table

Maka, nilai dari limit as x rightwards arrow 10 of space fraction numerator x cubed minus 1000 over denominator x minus 10 end fraction equals 300.

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