Use Newton's method to approximate the root of

Question

Use Newton's method to approximate the root of  
- 6x + 1 = 0 that lies between 0 and 1.Continue the approximation procedure until the difference of two successive approximations is less than 0.0001.

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The Answer of Use Newton's method to approximate the root of  
- 6x + 1 = 0 that lies between 0 and 1.Continue the approximation procedure until the difference of two successive approximations is less than 0.0001.