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JEE Math Practice Question

Let $$f(x)=\frac{1}{7-\sin 5 x}$$ be a function defined on $$\mathbf{R}$$. Then the range of the function $$f(x)$$ is equal to :

  1. A.$$\left[\frac{1}{8}, \frac{1}{5}\right]$$
  2. B.$$\left[\frac{1}{7}, \frac{1}{6}\right]$$
  3. C.$$\left[\frac{1}{7}, \frac{1}{5}\right]$$
  4. D.$$\left[\frac{1}{8}, \frac{1}{6}\right]$$

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