turkey-yks 2013 Q39

turkey-yks · Other · lys1-math Number Theory Modular Arithmetic Computation
$$\lim _ { x \rightarrow \infty } \frac { e ^ { - 3 x } + e ^ { 2 x } } { \ln x + 3 e ^ { 2 x } }$$
What is the value of this limit?
A) $\frac { 1 } { 2 }$
B) $\frac { 3 } { 2 }$
C) $\frac { 1 } { 3 }$
D) 0
E) 1
$$\lim _ { x \rightarrow \infty } \frac { e ^ { - 3 x } + e ^ { 2 x } } { \ln x + 3 e ^ { 2 x } }$$

What is the value of this limit?\\
A) $\frac { 1 } { 2 }$\\
B) $\frac { 3 } { 2 }$\\
C) $\frac { 1 } { 3 }$\\
D) 0\\
E) 1