![]() We can easily notice that as increases in value the value of goes closer and closer to 0, so we can predict that as approaches infinity the value of the function approaches 0, and we note: (To close to zero that the calculator shows exactly 0) Let’s evaluate the function as takes bigger and bigger values: Here is the graph of the function for a better illustration: In this case, we can use the notation:Īnd we read the limit of the function as approaches, is. We notice that, as the value of increase, the value of the increases as well, so we can predict that as the value of become bigger and bigger, the value of the function goes bigger and bigger too, meaning that as approaches infinity (infinitely big) the value of approaches as well. Let’s evaluate the function when the values of go bigger and bigger To better introduce the idea of limits, let’s take a look at some examples:Įxample 1: Let’s the function be defined as follow: We saw in a previous article, an introduction to functions and some of their properties, in this blog post we will learn about function’s limits, where we will try to the behavior of the function near infinity and near specific real values (i.e., the values for who the function isn’t defined), in other terms, we try to determine the function value when approaching the extremities of its domain of definition. In this article, we will introduce the idea of limits and the different cases that we can come across. In order to study a function and its behavior and properties, an important step is to find out the limits of the function on the ends of its domain of definition. Infinite limit when approaching a real value:.Finite limit when approaching a real value:.Finite and infinite limit when approaching a real value:.Finite and infinite limit when approaching infinity:.
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