Find the limit of g(x) = \$ (4x^3 - 3x^2 + 5x - 7) / (2x^2 + x - 1 )\$ as x approaches -1.

A) 1

B) Does not exist

C) 2

D) None of the above

Solve this equation \$( 4x^2 - 7x + 3 )/(3x-1) \$ = 0.

A) x = 1 and x = - \$3/4\$

B) x = - 1 and x = \$3/2\$

C) x = 1 and x = \$3/4\$

D) x = 1 and x = - \$3/5\$

Find the derivative of the function \$f(x) = cos^2(x)sin(x)\$.

A) \$ -2cos(x) + 3cos^3(x) \$

B) \$ -3cos(x) + 2sin^3(x) \$

C) \$ -2sin(x) - 3cos^3(x) \$

D) \$ 2sin(x) + 3cos^3(x) \$

Use factoring to solve the equation:
\$ t + 1 = (2t - 5)/(t + 3) + (5t + 8)/(t + 3) \$

A) t = - 6, t = 4

B) t = - 3, t = 9

C) t = 0, t = 3

D) t = 2, t = 6

Perform the division: \$(-3 + 2i) / (1 - i)\$.

A) \$ (- 5 + i)/2 \$

B) \$ ( 5 - i)/2 \$

C) \$ (5 + 3i)/2 \$

D) \$ (- 5 - i)/2 \$

Evaluate \$ \int ( (2x^2 - 5x + 3)/(x^2 - 2x +1) ) dx\$.

A) \$ 2(x - 1) - ln (| x + 1|) + c\$

B) \$ 2(x - 1) + ln (| x - 1|) + c\$

C) \$ 2(x + 1) - ln (| x + 1|) + c\$

D) \$ 2(x - 1) - ln (| x - 1|) + c\$

Given the polynomial function \$ f(x) = 3x^2 − 5x + 2\$, find the roots of the equation f(x) = 0.

A) \$ x = 2/3, x = 1\$

B) \$ x = 2/3, x = 1/3\$

C) \$ x = - 3/2, x = - 1/2\$

D) \$ x = 3/2, x = 2\$

Perform the indicated operation and reduce the answer to the lowest terms:
\$ (y^2 - 49)/(2y^2 - 3y - 5) \div (y^2 - y - 42)/(y^2 + 7y + 6)\$.

A) \$ (y + 5)/(2y - 5) \$

B) \$ (y - 3)/(y + 1) \$

C) \$ (y + 7)/(2y - 5) \$

D) \$ (3y + 7)/( y - 5) \$

Evaluate the following infinite series: \$ \sum_{n=1}^\infty ((n^2 + 2) / (n^4 + 4n^2 + 2)) \$.

A) Diverges, and its sum is 0.

B) Converges, and its sum is 0.

C) Converges, and its sum is 1.

D) Diverges, and its sum is 1.

Evaluate the definite integral \$ \int_0^(π/4) tan^2(x) sec^4(x) dx \$.

A) \$ 7/(25)\$

B) \$ 9/(16)\$

C) \$ 5/(17)\$

D) \$8/(15)\$