[tex] \displaystyle\lim_{ x \rightarrow \sqrt{ 25 } + \sqrt{ 16 } \times \sqrt{ 100 } } \left( \frac{ x }{ x } +1 \times 2-3 \right) [/tex]
hasilnya adalah?
A. 0
B. 1
C. 2
D. 3
E. 4
F. 5
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Penjelasan dengan langkah-langkah:
[tex] = \lim \limits_{ x \to \sqrt{ 25 } + \sqrt{ 16 } \times \sqrt{ 100 } } ( \frac{ x }{ x } +1 \times 2-3 )[/tex]
[tex] = \lim \limits_{ x \to \sqrt{ 25 } + \sqrt{ 16 } \times \sqrt{ 100 } } ( 1 +1 \times 2-3 )[/tex]
[tex] = \lim \limits_{ x \to \sqrt{ 25 } + \sqrt{ 16 } \times \sqrt{ 100 } } ( 1 +2-3 )[/tex]
[tex] = \lim \limits_{ x \to \sqrt{ 25 } + \sqrt{ 16 } \times \sqrt{ 100 } } ( 0 )[/tex]
[tex] = 0[/tex]
Jawabannya yang A.
[tex]{\boxed{\bf{\bold{\displaystyle {\large{\bf{\bold{ \lim_{x \to \sqrt{25} + \sqrt{16} \times \sqrt{100}}( \frac{x}{x} + 2 - 3) = 0}}}}}}}}[/tex]
Penyelesaian:
[tex]\displaystyle \sf \lim_{x \to \sqrt{25} + \sqrt{16} \times \sqrt{100}}( \frac{x}{x} + 2 - 3)[/tex]
[tex] \sf = \frac{ \sqrt{25} + \sqrt{16} \times \sqrt{100} }{ \sqrt{25} + \sqrt{16} \times \sqrt{100} } [/tex]
[tex] = \sf \frac{5 + 4 \times 10}{5 + 4 \times 10} + 2 - 3[/tex]
[tex] = \sf \frac{5 + 40}{5 + 40} + 2 - 3[/tex]
[tex] \sf = \frac{45}{45} + 2 - 3[/tex]
[tex] = \sf1 + 2 - 3[/tex]
[tex] = \sf3 - 3[/tex]
[tex] = {\bold{0}}[/tex]
Kesimpulan:
Maka, hasilnya adalah 0(A).
[tex]{\tt{\color{red}{༆R࿐}}}[/tex]
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