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For |x| << 1, coth(x) can be approximated as

1. x
2. x²
3. 1/x
4. 1/x²

Correct answer: 1/x

Solution

For small values of x, the hyperbolic cotangent function, coth(x), behaves similarly to the reciprocal of x, which is why it can be approximated as 1/x when |x| is much less than 1.

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