When Form 8815 Limitations 2022-2023

Instructions and Help about When Form 8815 Limitations

Okay and this example or a couple examples we're going to talk about limits at infinity either positive infinity or negative infinity and the idea is the same in a regular-- limit in this case with the notation means is you're putting in you know values of x in this case they get larger and larger and larger so maybe I'll put a hundred into this formula get a number out I'll put excuse me a thousand into this formula get a number out I'll put a million into the formula get a number out a billion a trillion a gajillion and you just keep going and going and going and the idea is you know if the numbers you're getting out are getting closer and closer to something again that's what we say the limit is and these problems limits at infinity I like a little bit better only in the sense that they're a little more straightforward they're the basic ones are a bit more mechanical and again just like anything in math there's definitely variations on this theme but when you have a rational function and again that's a polynomial over a polynomial you always look at the highest power of X in the denominator so in this case my highest power of X is X cubed and what we're going to do is we divide every single term and the problem by x cubed so I'll get the limit x goes to infinity I'll take three x squared divide that by X cubed I'm going to take five X divide that by X cubed I'll take four divide that by X cubed I'll have X cubed over X cubed and then I'll have seven x over x cubed okay so the next thing here which is...