Question: Prove that for any a E R the double limit x(x) = lim lim cos (amla) ) m-+00 An-+00 exists. Prove that the function x(r)

Prove that for any a E R the double limit x(x) = lim lim cos" (amla) ) m-+00 An-+00 exists. Prove that the function x(r) is discontinuous at any point of R
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