Find the value of expression `(cos(pi/2)+isin(pi/2))(cos(pi/(2^2))+isin(pi/(2^2))).......oo`

Explanation

To solve the expression \((\cos(\frac{\pi}{2}) + i \sin(\frac{\pi}{2}))(\cos(\frac{\pi}{2^2}) + i \sin(\frac{\pi}{2^2})) \cdots\) up to infinity, we can follow these steps:

### Step 1: Identify the terms
The expression can be rewritten using Euler's formula, which states that \(e^{i\theta} = \cos(\theta) + i\sin(\theta)\). Thus, we can express the terms as:
\[ e^{i \frac{\pi}{2}} \cdot e^{i \frac{\pi}{2^2}} \cdots \]

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