4.3. Given a sequence of functions $f_n(x) = \frac{x}{n}$. 4.3.1. Show that {$f_n$} is pointwise convergent, by using the definition of pointwise convergence. 4.3.2. Show that {$f_n$} does not converge uniformly.
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Step 1: To show that {$f_n$} is pointwise convergent, we need to show that for each $x$ in the domain of the functions, the sequence {$f_n(x)$} converges to a limit. Show more…
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