Matematika

Pertanyaan

Plisss bantu dong limit akar x kurang 1 dikurang 3 per X kurang 10 di mana X mendekati 10
Plisss bantu dong limit akar x kurang 1 dikurang 3 per X kurang 10 di mana X mendekati 10

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  • [tex] \frac{lim}{x - > 10} = \frac{ \sqrt{x - 1} - 3}{x - 10} \\ \frac{lim}{x - > 10} = \frac{ \sqrt{x - 1} - 3}{x - 10} \: \times \frac{ \sqrt{x - 1} + 3 }{ \sqrt{x - 1} + 3} \\ \frac{lim}{x - > 10} = \frac{ { (\sqrt{x - 1} ) }^{2} - {3}^{2} }{(x - 10)( \sqrt{x - 1} + 3)} \\ \frac{lim}{x - > 10} = \frac{x - 1 - 9}{\sqrt{x - 1} + 3} \\ \frac{lim}{x - > 10} = \frac{x - 10}{(x - 10)( \sqrt{x - 1} + 3)} \\ \frac{lim}{x - > 10} = \frac{1}{\sqrt{x - 1} + 3} \\ = \frac{1}{ \sqrt{10 - 1} + 3 } \\ = \frac{1}{ \sqrt{9} + 3 } \\ = \frac{1}{3 + 3} \\ \frac{1}{9} [/tex]
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