The solutions of limit problems is one of fundamental concepts in real analysis, applicable in various fields of mathematics and other sciences. However, determining limit can sometimes present challenges, particularly when the fuction in question is complex and difficult to solve manually. This study demostrates the use of MATLAB as a tool to assist in solving such problems numerically. The findings show that MATLAB is realible in calculating the limits of specific fuctions, offering accurate solutions more efficiently and quickly compared to manual methods.

In everyday life, three-dimensional shapes are ubiquitous, manifesting in structures such as houses, bottles, and vehicles. These shapes, characterized by length, width, and height, represent the application of functions of two variables, particularly within spatial domains. This research employs Python programming to model functions of two variables, specifically focusing on spatial surfaces. Leveraging the Matplotlib module, graphical representations of these functions are generated, while the NumPy module facilitates mathematical analyses, including identifying extremal values, critical points, and tangent lines. Results demonstrate the efficacy of Python in efficiently modeling functions of two variables. Through this approach, readers gain insights into the inherent characteristics and behaviors of such functions within spatial contexts, thereby simplifying mathematical analyses and enhancing comprehension.