Define f(10) in a way that extends f(s)=(s^3-1000)/(s^2-100) to be continuous at s= i'm stuck!

We want to be continuous at so the following limit must exist:



Now there's an indeterminated form "0/0". So we can factor out (s-10) in the fraction terms (through polynomial division):



____________

So if we define



then the limit of as approaches 10 is equal to f(10), which means that is continuous at

22.