Consider the functions given by on the interval (0, π).
Describe the behavior of each of the functions as x approaches π.

A)f approaches 2 and g approaches +∞.
B)f approaches 0 and g approaches +∞.
C)f approaches +∞ and g approaches 0.
D)f approaches 0 and g approaches .
E)f approaches 2 and g approaches .

Question

Consider the functions given by ​  on the interval (0, π).
Describe the behavior of each of the functions as x approaches π.
​
A)f approaches 2 and g approaches +∞. 
B)f approaches 0 and g approaches +∞. 
C)f approaches +∞ and g approaches 0. 
D)f approaches 0 and g approaches . 
E)f approaches 2 and g approaches .

Quizplus · Accepted Answer

As x approaches π, both sin(x) and cos(x) approach 0, which makes the denominator of f approach 2 and the denominator of g approach +∞. Therefore, f approaches 0 and g approaches +∞.

Consider the Functions Given by ​ on the Interval

Consider the Functions Given by on the Interval