Definisi dari&nbsp;limit&nbsp;menyatakan bahwa suatu fungsi&nbsp;<img align="middle" alt="begin mathsize 14px style f left parenthesis x right parenthesis end style" class="Wirisformula" data-mathml="«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«/mrow»«/mstyle»«/math»" height="15" role="math" src="data:image/png;base64,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" style="max-width: none; vertical-align: -3px;" width="27" />&nbsp;akan mendekati nilai tertentu jika&nbsp;<img align="middle" alt="begin mathsize 14px style x end style" class="Wirisformula" data-mathml="«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mi»x«/mi»«/mstyle»«/math»" height="8" role="math" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAICAYAAADA+m62AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAHXkAHPQAAAGNJREFUeNpjYECADUBsicQXBOLdQCzJgAakgfgMEDMBMRsQrwFiFQYcoByK5wOxAQMeoATEf4DYHp8iUSA+CsThQNyISxEP1OE6UP5sIDZFVwRy+BYgtkYSEwbik0DMwUAqAACfQwv2q08w7gAAAGp0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bXN0eWxlIG1hdGhzaXplPSIxNHB4Ij48bWk+eDwvbWk+PC9tc3R5bGU+PC9tYXRoPjNvx4wAAAAASUVORK5CYII=" style="max-width: none; vertical-align: -1px;" width="10" />&nbsp;&nbsp;mendekati nilai tertentu. Untuk menyelesaikan soal di atas dengan cara pemfaktoran.

<img align="middle" alt="begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 2 of space fraction numerator x squared minus 2 x over denominator x squared minus 5 x plus 6 end fraction end cell equals cell limit as x rightwards arrow 2 of fraction numerator x open parentheses x minus 2 close parentheses over denominator open parentheses x minus 2 close parentheses open parentheses x minus 3 close parentheses end fraction end cell row blank equals cell limit as x rightwards arrow 2 of fraction numerator x over denominator open parentheses x minus 3 close parentheses end fraction end cell row blank equals cell fraction numerator 2 over denominator 2 minus 3 end fraction end cell row blank equals cell fraction numerator 2 over denominator negative 1 end fraction end cell row blank equals cell negative 2 end cell row blank blank blank end table end style" class="Wirisformula" data-mathml="«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mtable columnspacing=¨0px¨ columnalign=¨right center left¨»«mtr»«mtd»«munder»«mi»lim«/mi»«mrow»«mi»x«/mi»«mo»§#8594;«/mo»«mn»2«/mn»«/mrow»«/munder»«mo»§#160;«/mo»«mfrac»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»2«/mn»«mi»x«/mi»«/mrow»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»5«/mn»«mi»x«/mi»«mo»+«/mo»«mn»6«/mn»«/mrow»«/mfrac»«/mtd»«mtd»«mo»=«/mo»«/mtd»«mtd»«munder»«mi»lim«/mi»«mrow»«mi»x«/mi»«mo»§#8594;«/mo»«mn»2«/mn»«/mrow»«/munder»«mfrac»«mrow»«mi»x«/mi»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«/mrow»«/mfenced»«/mrow»«mrow»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»2«/mn»«/mrow»«/mfenced»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«/mrow»«/mfenced»«/mrow»«/mfrac»«/mtd»«/mtr»«mtr»«mtd/»«mtd»«mo»=«/mo»«/mtd»«mtd»«munder»«mi»lim«/mi»«mrow»«mi»x«/mi»«mo»§#8594;«/mo»«mn»2«/mn»«/mrow»«/munder»«mfrac»«mi»x«/mi»«mfenced»«mrow»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«/mrow»«/mfenced»«/mfrac»«/mtd»«/mtr»«mtr»«mtd/»«mtd»«mo»=«/mo»«/mtd»«mtd»«mfrac»«mn»2«/mn»«mrow»«mn»2«/mn»«mo»-«/mo»«mn»3«/mn»«/mrow»«/mfrac»«/mtd»«/mtr»«mtr»«mtd/»«mtd»«mo»=«/mo»«/mtd»«mtd»«mfrac»«mn»2«/mn»«mrow»«mo»-«/mo»«mn»1«/mn»«/mrow»«/mfrac»«/mtd»«/mtr»«mtr»«mtd/»«mtd»«mo»=«/mo»«/mtd»«mtd»«mo»-«/mo»«mn»2«/mn»«/mtd»«/mtr»«mtr»«mtd/»«mtd/»«mtd/»«/mtr»«/mtable»«/mstyle»«/math»" height="177" role="math" src="data:image/png;base64,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" style="max-width: none; vertical-align: -79px;" width="242" />&nbsp;

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<img align="middle" alt="begin mathsize 14px style limit as x rightwards arrow 2 of space fraction numerator x squared minus 2 x over denominator x squared minus 5 x plus 6 end fraction end style" class="Wirisformula" data-mathml="«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨14px¨»«mrow»«munder»«mi»lim«/mi»«mrow»«mi»x«/mi»«mo»§#8594;«/mo»«mn»2«/mn»«/mrow»«/munder»«mo»§#160;«/mo»«mfrac»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»2«/mn»«mi»x«/mi»«/mrow»«mrow»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»-«/mo»«mn»5«/mn»«mi»x«/mi»«mo»+«/mo»«mn»6«/mn»«/mrow»«/mfrac»«/mrow»«/mstyle»«/math»" height="36" role="math" src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAG0AAAAkCAYAAACDr7TyAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAtZJREFUeNrtWkFIVFEUfUQMESKEyDC0EEQkRESQISIiAlcRIm2kVQt30TJoKW0jWrhw02JoEUGEiLgQWsxCQgSRiBZuokW4EHctJEL4nssc6Sf+P2/+vPnvvekeOOj7OPOu97777v3vHWP6H0/AX+BP8IFRRIGXYAW8Ax6oO+LCZfC3uiEuPAVfqxviwT1wndnWLaQuboF/+HMFHFAXu8U4uMG65gLyXXfBSxwvgh/VzW7RZOB6BQnesbrZHmvgrdT4GvgJrKWeJefoGiPg94K2/Ze4Du5ytVe4TY11+B1JG7aD1Mr5HtnWt3hONsDpEueV5uMdOBegbcFjFDxhc1AWquB7i8zxYVvwGAY/gwvgi5LmlNq0yp+h2RY8BljYJzl+A9ZLmHc9NWcwtiVtxiGgwvel26lnQ+AOeKXHc7drWLzYlmgSxwcNWh8E7aLxDZ40yEnAN9O6s3oMfjWtk3S5u3qorgwraPLecZPjOp+t8Zm8TM6AR+rKsIJmCj4rciKhtDidKTtoiggzTaFB06CFGDRVV0UIVVdFDFVXRQhVV0UGl+qqojfW3fQJWRjiQpRtX9Re2+D9spzay2bBtbqqjC7XZg65zmmyVgvkZGkW3OyHZsG1uiqUoC1xsVtDHCyHvWdKoRFuP93e/3TaLPhQVyUObetmjj3TEgN1BDmVbxj763TJokXHzYIPdVXC+iE7ggh1ph3YVuQc8Zj16wt//wBO2fzDW1xRVYu/laCKBuKV42bBl4LpqmlJ4fZYS1zaZpNpJ0yWs62/xljM532oxm4lKzM2clbNM4fNgm8F0zBXu0vbbIJ2eMECl8T4kZc1TdayZfOvviHvM9sZmVa0WQhBwTQI7ju2zSZob+n/89m/m9UsSFbMpN4VbEQoeTWtSLPgS13VSDlrlFvSgmPbbHwwwfI0wXGVNXY21Jdln+oqWXhHbEaknj3yaFvd/JVxrGbVzVPM+0KA/Z0LaQAAAXl0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bXN0eWxlIG1hdGhzaXplPSIxNHB4Ij48bXVuZGVyPjxtaT5saW08L21pPjxtcm93PjxtaT54PC9taT48bW8+JiN4MjE5Mjs8L21vPjxtbj4yPC9tbj48L21yb3c+PC9tdW5kZXI+PG1vPiYjeEEwOzwvbW8+PG1mcmFjPjxtcm93Pjxtc3VwPjxtaT54PC9taT48bW4+MjwvbW4+PC9tc3VwPjxtbz4tPC9tbz48bW4+MjwvbW4+PG1pPng8L21pPjwvbXJvdz48bXJvdz48bXN1cD48bWk+eDwvbWk+PG1uPjI8L21uPjwvbXN1cD48bW8+LTwvbW8+PG1uPjU8L21uPjxtaT54PC9taT48bW8+KzwvbW8+PG1uPjY8L21uPjwvbXJvdz48L21mcmFjPjwvbXN0eWxlPjwvbWF0aD7akvPXAAAAAElFTkSuQmCC" style="max-width: none; vertical-align: -13px;" width="109" />&nbsp;

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