Evaluate each limit and justify your answer. 
lim x→2 (3 / 2x^5−4x^2−50)^4

Key Concepts

Limits

A limit is a fundamental concept in calculus that describes the behavior of a function as its input approaches a certain value. It helps in understanding how functions behave near specific points, which is crucial for evaluating expressions that may not be directly computable at those points.

Continuous Functions

A function is continuous at a point if the limit of the function as it approaches that point equals the function's value at that point. Understanding continuity is essential for evaluating limits, as discontinuities can lead to undefined expressions or different limit values.

Polynomial Functions

Polynomial functions are expressions that involve variables raised to whole number powers and are combined using addition, subtraction, and multiplication. In the given limit, the polynomial in the denominator can affect the limit's value, especially if it approaches zero, leading to potential indeterminate forms.