Describe the behavior of the function as $x$ approaches $\frac { \pi ^ { + } } { 2 }$ $f ( x ) = 2 \tan x$
A)
$f \rightarrow - \infty$ as $x \rightarrow \frac { \pi ^ { + } } { 2 }$
B)
$f \rightarrow + \infty$ as $x \rightarrow \frac { \pi ^ { + } } { 2 } .$
C)
$f \rightarrow 0$ as $x \rightarrow \frac { \pi ^ { + } } { 2 }$
D)
$f \rightarrow - 1$ as $x \rightarrow \frac { \pi ^ { + } } { 2 }$
E)
$f \rightarrow 1$ as $x \rightarrow \frac { \pi ^ { + } } { 2 }$.

Question

Describe the behavior of the function as $x$ approaches $\frac { \pi ^ { + } } { 2 }$ $f ( x ) = 2 \tan x$ 
A)
$f \rightarrow - \infty$ as $x \rightarrow \frac { \pi ^ { + } } { 2 }$
B)
$f \rightarrow + \infty$ as $x \rightarrow \frac { \pi ^ { + } } { 2 } .$
C)
$f \rightarrow 0$ as $x \rightarrow \frac { \pi ^ { + } } { 2 }$
D)
$f \rightarrow - 1$ as $x \rightarrow \frac { \pi ^ { + } } { 2 }$
E)
$f \rightarrow 1$ as $x \rightarrow \frac { \pi ^ { + } } { 2 }$.

Quizplus · Accepted Answer

As $x$ approaches $\frac{\pi}{2}$ from the right (i.e. $\pi^{+}/2$), $	an x$ approaches $+\infty$ and hence $f(x)=2	an x$ approaches $-\infty$. Therefore, the correct choice is A.

Describe the Behavior of the Function As xxx Approaches π+2\frac { \pi ^ { + } } { 2 }2π+​

Describe the Behavior of the Function As $x$ Approaches $\frac { \pi ^ { + } } { 2 }$