Add comments mentioned in an issue open-telemetry#1919

Author: allen-k1m

instrumentation/opentelemetry-instrumentation-asyncio/README.rst

@@ -6,7 +6,42 @@ OpenTelemetry asyncio Instrumentation
 .. |pypi| image:: https://badge.fury.io/py/opentelemetry-instrumentation-asyncio.svg
    :target: https://pypi.org/project/opentelemetry-instrumentation-asyncio/
 
-This library allows tracing requests made by the asyncio library.
+AsyncioInstrumentor: Tracing Requests Made by the Asyncio Library
+
+Primary Use Case:
+-----------------
+1. Performance and Error Monitoring:
+The AsyncioInstrumentor tool offers significant advantages for developers and system administrators. It's designed to monitor real-time performance bottlenecks and catch exceptions within specific asynchronous tasks.
+
+When It's Not Ideal to Use AsyncioInstrumentor:
+------------------------------------------------
+1. Frameworks with Built-in Instrumentation:
+If you're utilizing a framework like aiohttp that already includes built-in instrumentation, you might not need this library. In such cases, leveraging the built-in tools of the framework is generally more beneficial than using external ones like AsyncioInstrumentor.
+
+2. Libraries Lacking Instrumentation:
+Should you employ a library that isn't inherently instrumented, AsyncioInstrumentor can step in to fill that gap.
+
+3. Concerns about Overhead:
+Tracing each task and future consistently can lead to added overhead. As a best practice, it's wise to enable tracing only when crucial, especially during the development stage.
+
+Example
+-------
+.. code:: python
+
+    from opentelemetry.instrumentation.asyncio import AsyncioInstrumentor
+    AsyncioInstrumentor().instrument()
+
+    import asyncio
+
+    async def main():
+        await asyncio.sleep(0.1)
+
+    asyncio.run(main())
+
+API
+---
+
+
 
 Installation
 ------------