Lim → 4 12-3×/√x-2

<p>Jawaban &nbsp;<strong>-12</strong></p><p>&nbsp;</p><p><strong>Pembahasan&nbsp;</strong></p><p>lim_x—&gt;4⁠⁠⁠⁠⁠⁠&nbsp; (12 -&nbsp; 3x)/[(√x) - 2]&nbsp;</p><p>&nbsp;</p><p>Jika nilai x = 4 dimasukkan ke persamaan limit tsb</p><p>12 - 3.4/[(√4) - 2] = 0/0</p><p>&nbsp;</p><p>Gunaksn aturan L'Hopital untuk menurunkan dua &nbsp;fungsi tsb dgn cara sbb:</p><p>f(x) = 12 - 3x</p><p>f'(x) = -3</p><p>&nbsp;</p><p>g(x) = (√x) - 2</p><p>g'(x) = ½ x¯^½</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 1/(2√x)</p><p>&nbsp;</p><p>maka&nbsp;</p><p>&nbsp;</p><p>lim_x—&gt;4⁠⁠⁠⁠⁠⁠&nbsp; f'(x)/g'(x)&nbsp;</p><p>&lt;=&gt; lim_x—&gt;4⁠⁠⁠⁠⁠⁠&nbsp; -3/(1/(2√x))</p><p>&lt;=&gt; &nbsp;lim_x—&gt;4⁠⁠⁠⁠⁠⁠ &nbsp;-6√x</p><p>&lt;=&gt; -6√4</p><p>&lt;=&gt; -12</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p><p>&nbsp;</p>