Thread: Approaching infinity intervals

Hey guys I'm having a little trouble with having to sub in something for infinity.

For example like say its 1/square of (x-2) if you were to sub in infinity for that what would it be? Is the answer 0?

Another example is lets say square root of (2+t) does this mean the answer is infinity?

I just want all the kind of scenarios of equations dealing with infinity and what the answer to them would be, can anyone help me with that?

In regular calculus, infinity is not a number, so one cannot substitute it for variables or make arithmetic operations with it. Variables range over numbers.

so what are the other scenarios when dealing with infinity, cause like I know that 1/infinity is 0 and (t+2)=infinity is there any other kind of scenarios that i should be aware of?

We say that the limit of 1/x is 0 as x tends to infinity. Formally, this means . All variables in that statement range over regular numbers, and all arithmetic operations and comparisons involve regular numbers.

alright thanks