JEE Math Practice Question
The function $$f: \mathbb{R} \rightarrow \mathbb{R}$$ defined by $$f(x)=\lim\limits_{n \rightarrow \infty} \frac{\cos (2 \pi x)-x^{2 n} \sin (x-1)}{1+x^{2 n+1}-x^{2 n}}$$ is continuous for all x in :
- A.$$R-\{-1\}$$
- B.$$ \mathbb{R}-\{-1,1\}$$
- C.$$R-\{1\}$$
- D.$$R-\{0\}$$
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