1 limx→ax + ax + a=a + aa + a=2a2a=1a2 limx→11 + x - 121 + x2=1 + 1 - 121 + 12=1 + 01 + 1=12

1st and 2nd question

(1) . \lim_{x \to a} \frac{\sqrt{x} + \sqrt{a}}{x + a} = \frac{\sqrt{a} + \sqrt{a}}{a + a} = \frac{2 \sqrt{a}}{2 a} = \frac{1}{\sqrt{a}} (2) . \lim_{x \to 1} \frac{1 + {(x - 1)}^{2}}{1 + x^{2}} = \frac{1 + {(1 - 1)}^{2}}{1 + {(1)}^{2}} = \frac{1 + 0}{1 + 1} = \frac{1}{2}