Two Special Limits
1. lim x→ 0 (sinx/x) = 12. lim x→ 0 ([1-cosx]/x) = 0
1. The limit as x approaches infinity of 1/x is equal to 0. This means that as x gets larger and larger without bound, the value of 1/x gets smaller and smaller until it approaches zero. This is because any positive number divided by an infinitely large number will approach zero.
2. The limit as x approaches 0 of sin(x)/x is equal to 1. This is one of the most important limits in calculus. It means that as x approaches zero, the ratio of sin(x) and x approaches 1. This limit is the basis for many calculus concepts, including derivatives and integrals of trigonometric functions. It is also used in physics and engineering to solve problems related to wave motion and oscillations.
More Answers:
The Power Rule in Calculus: Deriving Functions Raised to Any PowerUnderstanding the Limit Definition of Derivatives: A Fundamental Concept in Calculus
Master the Basics: Understanding the Limit Definition of Derivative in Calculus
Error 403 The request cannot be completed because you have exceeded your quota. : quotaExceeded