2. Suppose that {xn} is a real sequence. Prove that -lim sup Xn = liminf( -xn) n--+oo...

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2. Suppose that {xn} is a real sequence. Prove that

-lim sup Xn = liminf( -xn)

n--+oo n--+oo and

-liminf Xn = limsup( -xn).

n--+oo n--+oo

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