Question

Lim x²-9x-18/✓x-3
x-9​

Answer 1

[tex]\sf{\lim_{x\to{ \: 9}} } \frac{ {x}^{2} - 9x }{ \sqrt{x - 3} } \\ [/tex]

Penyelesaian :

[tex] = \frac{ {9}^{2} - 9 \times 9 }{ \sqrt{9 - 3} } \\ [/tex]

[tex] = \frac{81 - 9 \times 9}{ \sqrt{9 - 3} } \\ [/tex]

[tex] = \frac{81 - 81}{ \sqrt{9 - 3} } \\ [/tex]

[tex] = \frac{0}{ \sqrt{9 - 3} } \\ [/tex]

[tex] = \frac{0}{ \sqrt{ {3}^{2} - 3 } } \\ [/tex]

[tex] = \frac{0}{ \sqrt{ {3}^{\bcancel{2}} - 3} } \\ [/tex]

[tex] = \frac{0}{ \sqrt{3 - 3} } \\ [/tex]

[tex] = 0[/tex]