Pertanyaan

Nilai dari x → 0 lim x 2 x + 9 − 3 = ...

Nilai dari $x \to 0 lim \frac{2 x + 9 - 3}{x} = ...$

Y. Herlanda

Master Teacher

Mahasiswa/Alumni STKIP PGRI Jombang

Jawaban terverifikasi

Jawaban

nilai dari limit di atas adalah .

nilai dari limit di atas adalah 1 third

Pembahasan

Jadi, nilai dari limit di atas adalah .

$table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 0 of fraction numerator square root of 2 x plus 9 end root minus 3 over denominator x end fraction end cell equals cell limit as x rightwards arrow 0 of fraction numerator square root of 2 x plus 9 end root minus 3 over denominator x end fraction cross times fraction numerator square root of 2 x plus 9 end root plus 3 over denominator square root of 2 x plus 9 end root plus 3 end fraction end cell row blank equals cell limit as x rightwards arrow 0 of fraction numerator 2 x plus 9 minus 9 over denominator x square root of 2 x plus 9 end root plus 3 end fraction end cell row blank equals cell limit as x rightwards arrow 0 of fraction numerator 2 over denominator square root of 2 x plus 9 end root plus 3 end fraction end cell row blank equals cell fraction numerator 2 over denominator square root of 2 open parentheses 0 close parentheses plus 9 end root plus 3 end fraction end cell row blank equals cell fraction numerator 2 over denominator square root of 9 plus 3 end fraction end cell row blank equals cell fraction numerator 2 over denominator 3 plus 3 end fraction end cell row blank equals cell 2 over 6 end cell row blank equals cell 1 third end cell end table$

Jadi, nilai dari limit di atas adalah 1 third .