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Which of the following sequences of functions {fn}n=1∞\{f_n\}_{n=1}^{\infty}{fn}n=1∞ is/are uniformly convergent on its/their domain?
(A): fn(x)=cosn(x)f_n(x) = \cos^{n}(x)fn(x)=cosn(x) on [−π2,π2]\left[-\dfrac \pi2, \dfrac \pi2\right][−2π,2π].
(B): fn(x)=xnf_n(x) = \dfrac{x}{n}fn(x)=nx on R\mathbb{R}R.
(C): fn(x)=sin(nx)nf_n(x) = \dfrac{\sin(nx)}{n}fn(x)=nsin(nx) on R\mathbb{R}R.
Notation: R\mathbb R R denotes the set of real numbers.
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