Calculus 1: Lecture 1.2 Finding Limits Graphically and Numerically  Summary and Q&A
TL;DR
Limits in calculus determine the behavior of a function as it approaches a specific value.
Key Insights
 ⛔ The limit of a function defines its behavior as the input value approaches a specific value.
 ⛔ The limit is denoted as the input value approaches a certain value and the output value approaches a specific value.
 ♾️ A limit is always a real number and can be positive infinity, negative infinity, or does not exist.
Transcript
so this is the informal definition I was going to put definition and put it in quotes this is the informal definition of of a limit of a limits we're going to find limit so let so capital L be a real number so be a real number so capital L is going to be the limit right that's what we use L for variable right so L has to be a real number right so l... Read More
Questions & Answers
Q: How is the limit of a function defined in calculus?
The limit of a function is defined as the output value of the function as the input value approaches a specific value. It represents the behavior of the function as it gets closer to a certain point.
Q: What is the significance of the limit in calculus?
The limit allows us to understand the behavior of a function near a particular point and helps us analyze the function's value as the input value gets arbitrarily close to a specific value.
Q: How do we determine if a limit exists?
A limit exists if the output value of the function approaches a particular value as the input value gets arbitrarily close to a specific value. If the function does not approach a specific value, or approaches positive or negative infinity, the limit is said to not exist.
Q: Can a limit be any real number, including positive or negative infinity?
No, a limit can only be a real number. If the limit approaches positive or negative infinity, it is said to not exist.
Summary & Key Takeaways

Limits in calculus determine the behavior of a function as the input value approaches a particular value.

The limit of a function is denoted as the input approaches a certain value and the output approaches a specific value.

The limit is always a real number and can be positive infinity, negative infinity, or does not exist.