Add Caching to introduction and readme

[karansohi]

• Fix rate limiting guide with correct example

Description of change

Checklist

• [ ] Tested in playground or other setup
• [ ] Screenshot (Grafana) from playground added to PR for 15+ minute run
• [x] Documentation is changed or added
• [ ] Tests and/or benchmarks are included
• [ ] Breaking changes

Summary by CodeRabbit

• Documentation
  • Updated the README to include information on new caching features for performance improvement and cost reduction.
  • Revised the developer guide on per-user rate limiting to reflect code examples in TypeScript instead of Python.
  • Added a section in the introduction about the benefits of caching within the application.

[coderabbitai[bot]]

Walkthrough

The recent updates introduce caching as a key feature to enhance application performance and reduce operational costs. A snippet in the README.md file details this new functionality, while the documentation reflects a shift in programming language preference from Python to TypeScript for rate-limiting examples.

Changes

File Path	Change Summary
README.md	Added a section on caching to improve application performance and reduce costs.
.../guides/per-user-rate-limiting.md	Changed code snippet language from Python to TypeScript.
.../introduction.md	Added a section emphasizing the benefits of caching.

🐇✨ In the realm of code, a change does bloom,
Caching arrives, giving slowness its doom.
From Python to TypeScript, the snippets dance,
A rabbit hops by, giving the docs a glance. 📜💨

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