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## Main Question or Discussion Point

I've been trying to learn some maths by myself. A book I found starts with a section on limits. I feel that I have a decent understanding of what is written, but then, there are some problems given that I just can't figure out. I feel like I'm missing something basic. I'm not sure what I'm looking for. Maybe a resource with some examples of how to solve different kinds of equations would be enough. I'd also appreciate it if you could show how to solve a couple of problems I'm having a hard time with:

[itex]lim\sum\limits_{k=1}^{n-1} \frac{k^{2}}{n^{3}}, n\geq 2[/itex]

and

[itex]lim\sum\limits_{k=2}^n \frac{k-1}{k!}, n\geq 2[/itex]

[itex]lim\sum\limits_{k=1}^{n-1} \frac{k^{2}}{n^{3}}, n\geq 2[/itex]

and

[itex]lim\sum\limits_{k=2}^n \frac{k-1}{k!}, n\geq 2[/itex]