Q65Section C (Part C)65 of 120

Uniform convergence of $e^{-n^2x^2}/n$ and its derivatives

For each $n\ge1$ , let $f_n:\mathbb R\to\mathbb R$ be a function defined by

$f_n(x)=\frac{e^{-n^2x^2}}n.$

Which of the following statements are true?

Multiple select: one or more options are correct. Select all of them, then submit — marks need the exact set.

Select every correct option, then submit.

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