Question: Write a C program that demonstrates the correctness of Eulers formula for several values. Use the definition of e^x using a limit. A value of

Write a C program that demonstrates the correctness of Eulers formula for several values. Use the definition of e^x using a limit. A value of n = 1000, is sufficient for our purposes. Show numerically that when x = j\,\theta in the range 0

Write a C program that demonstrates the correctness of Eulers formula for

several values. Use the definition of e^x using a limit. A value

of n = 1000, is sufficient for our purposes. Show numerically that

$when x = j\,\theta in the range 0 Euler's formula brings together$

Euler's formula brings together complex numbers, the number e, and the trigonometry functions cos and sin into one equation -" = cos(9) + j sin(9) Consider a point, C-a + jb. on the complex plane. Following Euler's formula, C-re,e = r(cos + j sin ) C=a+jb=reje It can be shown, with the help of trigonometry identities, that powers of c follow the form expected from raising an exponential expression to a power

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