csat-suneung 2010 Q3

csat-suneung · South-Korea · csat__math-science 2 marks Chain Rule Continuity Conditions via Composition
For two constants $a , b$, if $\lim _ { x \rightarrow 3 } \frac { \sqrt { x + a } - b } { x - 3 } = \frac { 1 } { 4 }$, what is the value of $a + b$? [2 points]
(1) 3
(2) 5
(3) 7
(4) 9
(5) 11
For two constants $a , b$, if $\lim _ { x \rightarrow 3 } \frac { \sqrt { x + a } - b } { x - 3 } = \frac { 1 } { 4 }$, what is the value of $a + b$? [2 points]\\
(1) 3\\
(2) 5\\
(3) 7\\
(4) 9\\
(5) 11