Objective

In this lab, we will approximate $e^3$ using the Taylor series expansion and calculate the

True Error of our approximation by comparing it with Python's built$-$in exp function.

We will use $10$ terms of the Taylor series for our approximation.

Part $1$: Taylor Series Approximation

Implement the Taylor Series for $e^x$ Function

Write a Python function that calculates $e^x$ using the Taylor series expansion.

Approximate $e^3$ Using the Taylor Series

Use the function from the previous step to approximate $e^3$ with $10$ terms. Store the

approximation in a variable for comparison.

Part $2$: True Error Calculation

Calculate True Error

Use Python's built$-$in exp function to calculate the true value of $e^3.$ Calculate the True

Error of your Taylor series approximation.

You need to upload two files: your Python source code and

The screenshot of the result.