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Nilai dari

Nilai dari begin mathsize 14px style limit as x rightwards arrow 2 of open parentheses fraction numerator 2 over denominator x minus 2 end fraction minus fraction numerator 8 over denominator x squared minus 4 end fraction close parentheses equals.... end style 

Jawaban:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 2 of open parentheses fraction numerator 2 over denominator x minus 2 end fraction minus fraction numerator 8 over denominator x squared minus 4 end fraction close parentheses end cell equals cell limit as x rightwards arrow 2 of open parentheses fraction numerator 2 over denominator x minus 2 end fraction minus fraction numerator 8 over denominator open parentheses x minus 2 close parentheses open parentheses x plus 2 close parentheses end fraction close parentheses end cell row blank equals cell limit as x rightwards arrow 2 of fraction numerator 1 over denominator x minus 2 end fraction open parentheses fraction numerator 2 left parenthesis x plus 2 right parenthesis minus 8 over denominator x plus 2 end fraction close parentheses end cell row blank equals cell limit as x rightwards arrow 2 of fraction numerator 1 over denominator x minus 2 end fraction open parentheses fraction numerator 2 x minus 4 over denominator x plus 2 end fraction close parentheses end cell row blank equals cell limit as x rightwards arrow 2 of fraction numerator 1 over denominator x minus 2 end fraction open parentheses fraction numerator 2 left parenthesis x minus 2 right parenthesis over denominator x plus 2 end fraction close parentheses end cell row blank equals cell limit as x rightwards arrow 2 of open parentheses fraction numerator 2 over denominator x plus 2 end fraction close parentheses end cell row blank equals cell fraction numerator 2 over denominator 2 plus 2 end fraction end cell row blank equals cell 1 half end cell end table end style

Jadi, Nilai limitnya adalah begin mathsize 14px style 1 half end style.

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