``mathxlab.num.series``
=======================

Numerical series and Taylor approximation helpers.

.. admonition:: Stability
   :class: note

   Status: **Experimental**.

   This project treats the documented names as the *public surface*, but details may still evolve.
   If you need strict API guarantees, add ``__all__ = [...]`` to each module and version releases accordingly.

Design notes
------------
- Keep helpers small, explicit, and reproducible.

Examples
--------

Taylor polynomial approximation of sin(x)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

.. code-block:: python

   import numpy as np
   from mathxlab.num.series import taylor_sin
   print(taylor_sin(np.array([0.0, 1.0]), x0=0.0, degree=7))

Public API
----------

.. list-table::
   :header-rows: 1
   :widths: 22 10 68

   * - Name
     - Kind
     - Summary
   * - ``taylor_sin``
     - function
     - Compute the Taylor polynomial approximation of sin(x) around x0.

Reference
---------

Functions
~~~~~~~~~

.. autofunction:: mathxlab.num.series.taylor_sin