text for each n geq 1 text let f_n mathbfr rightarrow mathbfr quad f_n
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\text { For each } n \geq 1, \text { let } f_{n}: \mathbf{R} \rightarrow \mathbf{R}, \quad f_{n}(x)=\frac{n x}{n+x^{2}} Show that the sequence of functions {fn}n>1 converges pointwise, but it