Part 2/5:
Here, we make sense of what happens to ( 1/n ) as n becomes indefinitely large—it approaches zero.
Graphical Representation of Limits
To visualize this limit, let's graph the function ( 1/n ) against an increasing sequence of natural numbers. On the x-axis, we can denote n (1, 2, 3, 4, ...), and on the y-axis, we represent the values of ( 1/n ). At ( n=1 ), the value is 1; at ( n=2 ), it is 0.5; at ( n=3 ), it is approximately 0.33, and so forth. As n increases, the curve gradually approaches the x-axis, which represents the value zero. This graphical approach allows us to easily see how the function behaves as n tends towards infinity.