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Letf_n(x) = \frac{nx}{1+nx^2} a. Find the pointwise limit of $(f_n)$ for all $x \in (0, +\infty)$....

Letf_n(x) = \frac{nx}{1+nx^2}

a. Find the pointwise limit of $(f_n)$ for all $x \in (0, +\infty)$.

b. Is the convergence uniform on $(0, +\infty)$?

c. Is the convergence uniform on $(1, +\infty)$?

a-c Please

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