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## Homework Statement:

- Is there some way to approximate this function, for x=1?

## Relevant Equations:

- The function is ##(x-1)^{1/n}##, with ##n## integer and n>1 and n=odd.

Obviously, a priori it is not possible tu use the Taylor series because the derivative ##\sim (x-1)^{1/n-1}## is not well defined in x=1.

Is there any mathematical trick? or, other approximation?

Is there any mathematical trick? or, other approximation?