I understand that the following.
approximately
e=2.71828182845904523536
I have been asked in my mathematics book to graph e on my calculator.
How would I do this?
It does not ask me to graph e^x.
Just e by itself.
What would that be on my calculator (TI-85)?
I have been unable to find this through google as of yet.
"Hence to fight and conquer in all your battles is not supreme excellence;
supreme excellence consists in breaking the enemy's resistance without fighting."
Art of War Sun Tzu
http://mathforum.org/dr.math/faq/faq.e.htmle = lim n->infinity (1 + 1/n)^n
So on your calculator:
y = (1 + 1/x)^x
I know that it has that as the function.
let me tell you the full problem.
I must be completely misunderstanding this.
please forgive the simplicity of the question.
[text problem]
Illustrate the definition of the number e by graphing the curve y=(1+(1/n))^x and the line y=e on the same screen using the viewing rectangle [0,40] by [0,4].
[/text problem]
Understand everything on this problem except the line y=e?
I have already graphed (1+(1/n))^x, but I'm not sure what they want by y=e.
to me i would say
e=(1+(1/n))^x
so it would be the same line.
but how would i prove that with a graphing calculator
and how would i graph e
"Hence to fight and conquer in all your battles is not supreme excellence;
supreme excellence consists in breaking the enemy's resistance without fighting."
Art of War Sun Tzu
e is a number, what do you get when you have y=1? You have a horzontal line crossing (0,1). So push into your calculator y = e. If you only have a e^ key then either delete the ^ symbol or put in e^1.
I mean they told you exactly what they wanted.
This is not correct. e only equals this formula at the limit as n becomes unbounded.e=(1+(1/n))^x
i didn't know you could delete portions of a predefined function on the calculator.
deleting the ^ from e^ drew a line at just about 3.
so that worked.
thanks thantos.
"Hence to fight and conquer in all your battles is not supreme excellence;
supreme excellence consists in breaking the enemy's resistance without fighting."
Art of War Sun Tzu
umm y=e^1?
I'm pretty sure they wanted you to illustrate the convergence of e as e approaches infinity compared to a (relatively accurate) approximation of e .
As Thantos said, just put y=(1+1/x)^x and y=e^1.
Why bump a 4 day old thread when the OP has already stated that they have it working?
