csat-suneung 2006 Q3

csat-suneung · South-Korea · csat__math-science 2 marks Composite & Inverse Functions Recover a Function from a Composition or Functional Equation
When two constants $a , b$ satisfy $\lim _ { x \rightarrow 2 } \frac { x ^ { 2 } - ( a + 2 ) x + 2 a } { x ^ { 2 } - b } = 3$, what is the value of $a + b$? [2 points]
(1) $- 6$
(2) $- 4$
(3) $- 2$
(4) 0
(5) 2
When two constants $a , b$ satisfy $\lim _ { x \rightarrow 2 } \frac { x ^ { 2 } - ( a + 2 ) x + 2 a } { x ^ { 2 } - b } = 3$, what is the value of $a + b$? [2 points]\\
(1) $- 6$\\
(2) $- 4$\\
(3) $- 2$\\
(4) 0\\
(5) 2