Evaluate the following : \$\lim_{x \to 0} (\sqrt(2 + x) - \sqrt2)/x \$.

A) \$ 1/(\sqrt2) \$

B) \$ \sqrt2 \$

C) \$ 1/2 \sqrt2 \$

D) \$ 1/(2\sqrt2) \$

Find the limit of the function \$f(x) = (3x^2 - 2x + 1)/(x - 1)\$ as x approaches 1.

A) 4

B) 6

C) 10

D) 14

Find the values of the constant 'a' that make the function \$f(x) = ax² + 3x\$ continuous at x = 2.

A) Any real number

B) a must be positive

C) a = - 3

D) a = 0

Determine if the function \$f(x) = (x^2 - 4)/(x - 2)\$ is continuous at x = 2.

A) \$ 1/2\$

B) Discontinuous

C) 4

D) Continuous

Determine the continuity of the function f(x) = 7x - 5 at the point x = 12.

A) Discontinuous

B) Continuous

C) 64

D) 15