Question

What is the limit of cot(x) as x approaches 0?

A) -1
B) 0
C) 1
D) The limit doesn't exist

Answer 1

The limit of cot(x) as x approaches 0 does not exist. However, cos(x) approaches 1 as x approaches 0, and dividing by 0 results in an undefined value. Therefore, the limit of cot(x) as x approaches 0 is undefined.

Step-by-step explanation:

The limit of cot(x) as x approaches 0 does not exist.

The function cot(x) is equal to cos(x)/sin(x), and as x approaches 0, sin(x) approaches 0, causing the denominator to become 0.

However, cos(x) approaches 1 as x approaches 0, and dividing by 0 results in an undefined value.

Therefore, the limit of cot(x) as x approaches 0 is undefined.