Pertanyaan

Nilai dari x → 2 a lim x 2 − 4 a 2 x − 2 a + x − 2 a adalah....

Nilai dari $x \to 2 a lim \frac{x - 2 a + x - 2 a}{x ^{2} - 4 a ^{2}}$ adalah....

A. Fatta

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

Jawaban terverifikasi

Jawaban

nilai dari adalah .

nilai dari $limit as x rightwards arrow 2 a of fraction numerator square root of x minus 2 a end root plus square root of x minus square root of 2 a end root over denominator square root of x squared minus 4 a squared end root end fraction$ adalah

Pembahasan

Untuk menjawab soal di atas, kita dapat memfaktorkan fungsi dalam limit tersebut. Dengan demikian, nilai dari adalah .

Untuk menjawab soal di atas, kita dapat memfaktorkan fungsi dalam limit tersebut.

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

Dengan demikian, nilai dari $limit as x rightwards arrow 2 a of fraction numerator square root of x minus 2 a end root plus square root of x minus square root of 2 a end root over denominator square root of x squared minus 4 a squared end root end fraction$ adalah .