Limits

To evaluate the limit , we'll use limit properties and trigonometric approximations.

1. Rewrite the Limit:
Let . As , .
The limit becomes:

2. Apply Standard Limit:
Recall that: We can rewrite our expression to match this form:

3. Verification Using Series Expansion:
For small angles, . Thus: Multiplying by :

4. Alternative Substitution:
Let , then as , :

Final Answer:
The value of the limit is .