A Deep Dive Into The World of Trigonometric Limits
Key Concepts in Trigonometric Limits Basic Trigonometric Limits: There are a few foundational limits that are frequently used in calculus: \( \lim_{x \to 0} \frac{\sin(x)}{x} = 1 \) \( \lim_{x \to 0} \frac{\cos(x) – 1}{x} = 0 \) \( \lim_{x \to 0} \frac{1 – \cos(x)}{x^2} = \frac{1}{2} \) These limits are often the starting point […]
The Role Played by Infinity in Limits
Types of Infinity in Limits Limits Approaching Infinity: This occurs when the variable within a function approaches infinity. The notation is \( \lim_{x \to \infty} f(x) \) or \( \lim_{x \to -\infty} f(x) \). The limit evaluates how the function behaves as the variable grows larger and larger (positively or negatively). Limits Equaling Infinity: This […]
