Limit help please
Can someone please give answers to these questions and explanations please?
As well as any creative ideas to present it?
lol i have a calculus project on this and need to present it to my pre-cal class.
I have the basic concept down, but not really in depth.
Thanks, any help is greatly appreciated!
What does a limit of a graph as it approaches infinity tell you about the graph?
How do you find the limit of functions as they approach infinity?
Could you please give me an example of what you mean. I'm not quite sure that I understand your question.
If what you mean is that the behavior of the graph tends to infinity as x tends to a nuber c, we say that (does not exist), because thedefinition of limit states that a function f(x) has a limit as x tends to c only if, as x tends to c, f(x) tends to some number L.
Does that help?
If as then the line is a vertical asymptote of the graph .
Is that what your asking? That's 'something that can be said about the graph'.
I'm not sure, lol.
I'm still trying to learn all of the material, i've never dealt with calculus, we're doing this project as an intro to calculus.
But i found the answer for my first question to be "The limit of the graph as it approaches infinity tells you if it has a horizontal asymptote and what the end behavior model would look like. and my teacher said it was correct.
I don't really understand that question either.
Hope that helps.
And thank you for taking your time to help me.
The limit of f(x) as x approaches infinity has no bearing on a horizontal asymptote. Something as simple as x^2 is a perfect example where that information is useless.
The idea of a limit is to find out what value you're approaching, rather than what value actually exists. For example, the limit of as x approaches -2 is -5. Despite the fact that plugging in -2 yields 0/0.
Alright, thank you to everyone for the help.
But now does anyone have any creative ideas to present my project on a power point?
Themes, methods, etc.
Anything that will contribute to it's effectiveness in teaching and in creativity.