Answer by Jakob W. for Does the exponential of a function converge? What can...
I think $\exp(t)$ converges for every possible input of $t$, but I haven’t found a proof yet. If anyone can provide a proof or disproof then that would be helpful.The proof may depend on the type of...
View ArticleAnswer by Chris Lewis for Does the exponential of a function converge? What...
The important thing to understand is the convergence of the series for $\exp(t)$.We'd like to find out if the sum$$\sum_{n=0}^\infty \frac{t^n}{n!}$$is defined for all real $t$ (I'm just going to focus...
View ArticleAnswer by freakish for Does the exponential of a function converge? What can...
I think $\exp(t)$ converges for every possible input of $t$, but I haven’t found a proof yet.For all real and complex inputs of $t$, yes. This is not something trivial to show. You need proper...
View ArticleDoes the exponential of a function converge? What can we do with it?
I’m in middle school (6th grade) and I have a question related to the exponential function (the teacher couldn’t help me):We define the exponential as follows:$$ \exp(t) = \sum_{n = 0}^{\infty}...
View Article
