MathematicsMedium179×since 2002Q4157The function f:R→Rf: \mathbb{R} \rightarrow \mathbb{R}f:R→R defined by f(x)=limn→∞cos(2πx)−x2nsin(x−1)1+x2n+1−x2nf(x)=\lim\limits_{n \rightarrow \infty} \frac{\cos (2 \pi x)-x^{2 n} \sin (x-1)}{1+x^{2 n+1}-x^{2 n}}f(x)=n→∞lim1+x2n+1−x2ncos(2πx)−x2nsin(x−1) is continuous for all x in :AR−{−1}R-\{-1\}R−{−1}BR−{−1,1}\mathbb{R}-\{-1,1\}R−{−1,1}CR−{1}R-\{1\}R−{1}DR−{0}R-\{0\}R−{0}Check answerSkip