add litellm example (OpenAI-Compatible Endpoint)

[krrishdholakia]

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Hi @random-forests @markmcd,

Adding a tutorial to show how to call Gemini through an OpenAI-Compatible Endpoint (via LiteLLM)

This supports Google AI Studio + Vertex AI as well.

Let me know if there's anything further required here!

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[MarkDaoust]

Hi, we're planning to put integration examples like this in an examples/integrations/ directory. Can you create that directory and move this file into it?

[MarkDaoust]

Also, se can't merge anything until you sign the CLA.

[krrishdholakia]

Hey @MarkDaoust thanks for the bump - just signed the CLA

[github-actions[bot]]

Marking this pull request as stale since it has been open for 14 days with no activity. This PR will be closed if no further activity occurs.

[markmcd]

Please ignore the "stale" check above. I'll reset the counter since you were waiting on us.

I've rebased your PR to the current head to pick up the lint, etc checks. Please take a look at them.

Can you also:

• Give the guide a descriptive title - it needs to describe what this guide demonstrates (include the task, like "question answering" or "building a chatbot" - it could be something like "Generating content with LiteLLM" or "Issuing OpenAI compatible requests to the Gemini API with LiteLLM")
• Update the filename to match, and put it in examples/litellm/...
• Add an intro sentence/paragraph to explain what task the reader is going to implement, including links to relevant content (like litellm docs).
• Also add descriptions to each section of the guide, explaining what will be done.
• Include response outputs where they are helpful, e.g. to show the model has responsed.

For a good example, check out this langchain example (but yours can be much shorter).

Also please refer to the style guide for guidance on how to structure your text.

[github-actions[bot]]

Marking this pull request as stale since it has been open for 14 days with no activity. This PR will be closed if no further activity occurs.