Matematika
[tex] \\ \\ [/tex]
Lim. (3x² × x + x³)
x → 6
[tex] \\ \\ [/tex]
he's a liar


[tex] \\ \\ [/tex]
Lim. (3x² × x + x³)
x → 6
[tex] \\ \\ [/tex]
he's a liar

Limit

[tex] \sf \lim_{x \to6}( {3x}^{2} \times x + {x}^{3} )[/tex]

= 3(6)² × 6 + (6)³

= 3(6 × 6) × 6 + (6 × 6 × 6)

= 3(36) × 6 + (36 × 6)

= 108 × 6 + 216

= 648 + 216

= 864

[tex]\displaystyle\lim_{ \sf \: x \to6} [3x {}^{2} \times x + x {}^{3} ][/tex]

[tex] = \displaystyle\lim_{ \sf \: x \to6} [3(6) {}^{2} \times 6 + 6 {}^{3} ][/tex]

[tex] = 3(6) {}^{2} \times 6 + 6 {}^{3} [/tex]

[tex] = 3 (6 \times 6) \times 6 + 6 {}^{3} [/tex]

[tex] = 3(36) \times 6 + 6 {}^{3} [/tex]

[tex] = (3 \times 36) \times 6 + 6 {}^{3} [/tex]

[tex] = 108\times 6 + 6 {}^{3} [/tex]

[tex] = 108\times 6 + (6 \times 6) \times 6)[/tex]

[tex] = 108 \times 6 + (36 \times 6)[/tex]

[tex] = (108 \times 6)+ 216[/tex]

[tex] = 648 + 216[/tex]

[tex] = 864[/tex]

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