Roboguru

Nilai dari  adalah ....

Nilai dari limit as x rightwards arrow 4 of fraction numerator square root of x minus 2 over denominator x minus 4 end fraction adalah ....

Jawaban:

Permasalahan limit as x rightwards arrow 4 of fraction numerator square root of x minus 2 over denominator x minus 4 end fraction dapat diselesaikan dengan menggunakan metode pemfaktoran. Sehingga diperoleh

table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 4 of fraction numerator square root of x minus 2 over denominator x minus 4 end fraction end cell equals cell limit as x rightwards arrow 4 of fraction numerator square root of x minus 2 over denominator open parentheses square root of x plus 2 close parentheses square root of x minus 2 end fraction end cell row blank equals cell limit as x rightwards arrow 4 of fraction numerator 1 over denominator open parentheses square root of x plus 2 close parentheses end fraction end cell row blank equals cell fraction numerator 1 over denominator open parentheses square root of 4 plus 2 close parentheses end fraction end cell row blank equals cell fraction numerator 1 over denominator open parentheses 2 plus 2 close parentheses end fraction end cell row blank equals cell 1 fourth end cell end table

Jadi, limit as x rightwards arrow 4 of fraction numerator square root of x minus 2 over denominator x minus 4 end fraction equals 1 fourth.

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