The video tutorial explains how to manipulate and evaluate limits involving trigonometric functions. It begins by discussing the importance of isolating terms in a limit problem, specifically focusing on the sine function. The instructor then demonstrates how to simplify the denominator by removing constants, leading to a clearer expression. Finally, the video concludes with evaluating the limit, resulting in a simplified answer.

How does the teacher evaluate the limit of sine of X / X?

What is the final result of the limit evaluation discussed in the text?