- #1
BOAS
- 553
- 19
Homework Statement
$$f:\mathbb{R} \rightarrow \mathbb{R},$$
$$ f(x) = \frac{1}{\sigma \sqrt{2 \pi}} e^{\frac{-(x-\mu)^2}{2 \sigma ^{2}}}$$
What are the roots of this equation?
Homework Equations
The Attempt at a Solution
The roots of an equation are the values of [itex]x[/itex] such that [itex]f(x) = 0[/itex]. This is the first time I have seen a question like this and am still getting my head around the normal distribution, but as far as I'm aware the curve never does reach [itex]f(x) = 0[/itex] so I want to express the idea that the roots of this equation are [itex]+/- \infty[/itex] but I don't know how to do this...
[itex]lim_{x \rightarrow +/- \infty} f(x) = 0[/itex]
I'd appreciate some guidance,
thanks :)