Nilai dari Lim x -> 3, (4x-12)/(x-(√2x+3))

<p>Jawaban &nbsp;<strong>6</strong></p><p>&nbsp;</p><p><strong>Pembahasan&nbsp;</strong></p><p>Rasionalkan penyebut dgn perkalian akar sekawan</p><p>[(4x - 12)/(x - √(2x + 3))] × [(x + √(2x + 3))/(x + √(2x + 3))]</p><p>&lt;=&gt; (4x - 12)(x + √(2x + 3))/(x² - 2x - 3)</p><p>&lt;=&gt; 4(x-3)(x + √(2x + 3))/[(x - 3)(x + 1)]&nbsp;</p><p>&lt;=&gt; 4(x + √(2x + 3))/(x + 1)</p><p>&nbsp;</p><p>sehingga persamaannya menjadi</p><p>&nbsp;</p><p>lim x—&gt; 3 &nbsp; 4(x + √(2x + 3))/(x + 1)</p><p>&lt;=&gt; 4(3 + √(2.3 + 3)) /(3 + 1)</p><p>&lt;=&gt; 4(3 + √9)/4</p><p>&lt;=&gt; 3 + 3</p><p>&lt;=&gt; 6</p><p>&nbsp;</p><p>&nbsp;</p>