Evaluate using limit sum `int_0^2e^xdx`

Explanation

To evaluate the integral \( \int_0^2 e^x \, dx \) using the limit sum method, we will follow these steps:

### Step 1: Define the limits and the width of subintervals
Let \( A = 0 \) (lower limit) and \( B = 2 \) (upper limit). The width of each subinterval is given by \( H \).

### Step 2: Determine the number of subintervals
The number of subintervals \( N \) can be calculated using the formula:
\[
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