I'm really having trouble with these types of questions and the solutions provided are quite vague. So any help would be greatly appreciated.
Q: Let $\delta_n(x)=(n\pi^{-\frac{1}{2}})e^{-n^2x^2}$. Find it's Fourier transform $\widetilde{\delta}_n(k)$. Sketch $\delta_n(x)$ & $\widetilde{\delta}_n(k)$ for small and large $n$ & comment on their behaviour.
Sorry for the poor formatting, hope it makes sense!