Question

Lim( -/sin^2(x) -1/x)
X ->0

Answer 1

The limit of the given expression as x approaches 0 is 0.

Step-by-step explanation:

The limit of the given expression is 0. To find the limit, we will simplify the expression:

-/sin^2(x) - 1/x = -1/sin^2(x) - 1/x

Now, as x approaches 0, we have sin(x) / x = 1. So, the expression becomes:

-1/1 - 1/x = -2 - 1/x

As x approaches 0, the value of -1/x becomes infinitely large and the expression tends towards negative infinity. Therefore, the limit of the given expression as x approaches 0 is 0.