Answer by Ron Gordon for What is $\frac{0}{0}$ and $\frac{\infty}{\infty}$? A...
I don't see how you get $1$ as that limit. Here's how I see it.$g(t)$ is nonzero only when $t \in [0,1]$. Thus$$\lim_{n \to \infty} \int_{-n}^n dt\, g(t) = \int_0^1 dt \, e^{1/x^2} e^{1/(1-x)^2}$$Also,...
View ArticleWhat is $\frac{0}{0}$ and $\frac{\infty}{\infty}$? A question on...
I am wondering what is $\frac{0}{0}$ and $\frac{\infty}{\infty}$?In my impression, both are undefined. But then I need to prove that$$\lim_{n \rightarrow \infty} \frac{\int_{-n}^x g(t)dt}{\int_{-n}^n...
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