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Mathematics 13 Online
OpenStudy (anonymous):

Is the function y = ln l x-1 I differentiable at the point x = 1?

OpenStudy (anonymous):

No. The function is not continuous at x=1.

OpenStudy (anonymous):

can you explain to me why it isn't?

OpenStudy (anonymous):

Well, substitute x=1 in the equation. The value of x becomes infinite. Hence the value isn't defined at that point... x=0.99 and x=1.01( the neighbourhood of 1), the function has a finite value but not for x=1

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