This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
The exponential form of a complex number z is given by Euler's formula, which relates the polar form to the exponential form. A complex number can be written in: • Rectangular form: z = a + ib • Polar form: z = r( + i ), where r is the modulus and is the argument. • Exponential form: z = re^i Comparing this with the given options: (A) e^x+x+x^2/2! is not the standard exponential form. (B) e^x is a real exponential function. (C) re^i is the correct exponential form of a complex number. (D) a+ib is the rectangular form of a complex number. The correct option is (C). The final answer is C