The notation "lim x→2" means the limit as x approaches 2. In this context, it refers to the value that a function approaches as the input (x) gets closer and closer to the value 2.
f(4x^2 − 11) represents the function f with an input of 4x^2 − 11. In other words, it is the value of the function at the point 4x^2 − 11.
The limit of a function represents the value that the function approaches as the input approaches a certain value. In this case, the limit being equal to 8 means that as x gets closer and closer to 2, the value of f(4x^2 − 11) also gets closer and closer to 8.
This limit can be solved using various methods, such as substitution, factoring, or algebraic manipulation. However, the specific method would depend on the given function f(4x^2 − 11).
Limits are important in mathematics because they allow us to understand the behavior of functions and how they change as the input changes. They also play a crucial role in calculus and are used to define derivatives and integrals, which are fundamental concepts in higher mathematics and many fields of science.