Visualizations are really helpful when trying to understand if series are coming together (converging) or spreading apart (diverging). Here’s why they matter:
Graphs: When you plot the partial sums of a series on a graph, you can see if they settle down to a specific number (this means they are converging) or if they keep bouncing up and down (this means they are diverging).
Area Under the Curve: Looking at series can also be linked to the area under a curve. This gives you a clearer idea of what convergence feels like.
Comparison: Using graphs to compare two series next to each other helps explain why one series converges and the other doesn’t.
In short, using visuals makes tricky ideas a lot easier to understand and remember!
Visualizations are really helpful when trying to understand if series are coming together (converging) or spreading apart (diverging). Here’s why they matter:
Graphs: When you plot the partial sums of a series on a graph, you can see if they settle down to a specific number (this means they are converging) or if they keep bouncing up and down (this means they are diverging).
Area Under the Curve: Looking at series can also be linked to the area under a curve. This gives you a clearer idea of what convergence feels like.
Comparison: Using graphs to compare two series next to each other helps explain why one series converges and the other doesn’t.
In short, using visuals makes tricky ideas a lot easier to understand and remember!