Can L’hospital rule work for finding limits of complex functions

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L'Hôpital's rule is not applicable for multivariable functions, but it can be used for single-variable complex functions in the form of f(z). The key requirement is that the necessary derivatives must be continuous at the point of interest. This allows for the application of the rule to find limits of complex functions. Therefore, if these conditions are met, L'Hôpital's rule can be effectively utilized. Understanding these criteria is essential for correctly applying the rule to complex limits.
xdrgnh
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I know for multivariable function it doesn’t work. However if the function is in the form of f(z) and z is the only variables shown. Can I use it?

Thanks
 
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xdrgnh said:
I know for multivariable function it doesn’t work. However if the function is in the form of f(z) and z is the only variables shown. Can I use it?

Thanks

Yes - as long as the necessary derivatives are continuous at the z in question.
 

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