What are the limitations of Euler's?

Euler's formula, also known as Euler's identity, is a mathematical equation that relates the fundamental mathematical constants of e, i, π, 0, and 1. Despite its elegance and power in simplifying complex exponential and trigonometric calculations, Euler's formula does have some limitations. For instance, it only applies to exponential functions with a base of e, limiting its use in other contexts. Additionally, it doesn't provide direct solutions for non-periodic functions or functions with singularities. Furthermore, its reliance on imaginary numbers and complex planes can make it difficult to interpret and visualize in real-world applications. Can you elaborate on these limitations and any others you might be aware of regarding Euler's formula?