0
|
2723 Views
|
2 Replies
|
5 Total Likes
View groups...
Share
GROUPS:

# Trouble with rules

Posted 9 years ago
 Hi all, I am new to mathematica and am trying to get a hang of rules. Here is what I am trying to do. I wanted to show in Mathematica that the Limit of \begin{align*} \lim_{R \to \infty } \frac{e^{a R}}{e^R} = 0 & & | a | < 1 \end{align*} So what I tried in Mathematica is Limit[ Exp[a*R] / Exp[R], R -> [Infinity]]. But I don't know how to force it use a rule like this: Abs[a]<1 Anyone know what would be the proper syntax in Mathematica to do the above? Thanks in advance.
2 Replies
Sort By:
Posted 9 years ago
 One thing to be aware of is that in Mathematica, when one mentions "rules" one is typically referring to things with head Rule or a List thereof. What you are dealing with in this case is assumptions.I realize this is just nomenclature and not in general a big deal. But it is helpful to have the right terminology in the subject header since, for many people, that can determine what gets read.
Posted 9 years ago
 In:= Limit[Exp[a*r]/Exp[r], r -> \[Infinity], Assumptions -> {Abs[a] < 1}] Out= 0