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The function f : R → R defined by f(x) = n 2 1 n 2 n 2 n x x 1 ) 1 x sin( x ) x 2 cos( lim − + − − π + ∞ → is continuous for all x in

1. R – {–1}
2. R –{–1, 1}
3. R – {1}
4. R – {0}

Correct answer: R –{–1, 1}

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