Describe the behavior of the function below as x approaches zero.
A)f → 0 as x → 0.
B)f → -1 as x → 0.
C)f → 1 as x → 0.
D)f → -∞ as x → 0.
E)f → +∞ as x → 0.

Question

Describe the behavior of the function below as x approaches zero. ​  ​
A)f → 0 as x → 0. 
B)f → -1 as x → 0. 
C)f → 1 as x → 0. 
D)f → -∞ as x → 0. 
E)f → +∞ as x → 0.

Quizplus · Accepted Answer

As x approaches zero, the exponential term e^x approaches 1, so the entire function approaches 11(1) = 11. Therefore, the limit of the function as x approaches zero is 11, which is option A.

Describe the Behavior of the Function Below as X Approaches