A limit is a fundamental concept in calculus that describes the behavior of a function as its input approaches a certain value. In simpler terms, a limit is the value that a function approaches as it gets closer and closer to a specific input.
To solve a limits question, you need to use various techniques such as substitution, factoring, rationalization, and L'Hopital's rule. It is important to also understand the properties and rules of limits, such as the limit laws, to correctly solve a limits question.
The purpose of finding a limit is to understand the behavior of a function and to determine its value at a specific point or as it approaches a certain input. Limits are also useful in determining continuity, differentiability, and asymptotes of a function.
There could be various reasons for struggling with a specific limits question. It could be due to a lack of understanding of the concept, not knowing the appropriate techniques to solve it, or making a mistake in the calculations. It is important to review the concept and practice solving similar problems to improve your skills.
Some tips for solving limits questions include understanding the concept and properties of limits, practicing various techniques, checking for common mistakes, and seeking help from a teacher or tutor if needed. It can also be helpful to break down the problem into smaller steps and work through it systematically.