6.05.26. 5 lim x+2 x→-2 x-5 6 lim 5+22+2 2-3(1) 2²+32-2 x→-2 (4+2) 8) lim 4-a a→4 a+1 9) lim a³+3a-3 a→3 6-a ТАБЛИЦА НАТУРАЛЬНЫХ

Решение:

• 5.\[ \lim_{x\to -2} \frac{x+2}{x-5} = \frac{-2+2}{-2-5} = \frac{0}{-7} = 0 \]
• 6.\[ \lim_{x\to -2} \frac{5+2x^2+2}{x^2+3x-2} = \frac{5+2(-2)^2+2}{(-2)^2+3(-2)-2} = \frac{5+2(4)+2}{4-6-2} = \frac{5+8+2}{4-8} = \frac{15}{-4} = -\frac{15}{4} \]
• 7.\[ \lim_{x\to -2} \left( 4+\frac{x}{2} \right) = 4+\frac{-2}{2} = 4+(-1) = 3 \]
• 8.\[ \lim_{a\to 4} \frac{4-a}{a+1} = \frac{4-4}{4+1} = \frac{0}{5} = 0 \]
• 9.\[ \lim_{a\to 3} \frac{a^2+3a-3}{6-a} = \frac{3^2+3(3)-3}{6-3} = \frac{9+9-3}{3} = \frac{15}{3} = 5 \]

Ответ:

• 5. 0
• 6. -15/4
• 7. 3
• 8. 0
• 9. 5