Part 5/5:
The Squeeze Theorem is an invaluable tool when dealing with limits that might initially appear challenging. It can particularly simplify situations involving oscillatory functions, such as sine and cosine. By recognizing the properties of these functions and applying the theorem, one can often arrive at a definitive limit. As illustrated in our example, the Squeeze Theorem affirms that as (x) approaches 0, (x^2 \sin\left(\frac{1}{x}\right)) approaches 0 as well. This theorem encourages a deeper understanding of limits and contributes to more effective problem-solving in calculus.
Stay tuned for more mathematical insights and applications!