Continuity of a function

Calculus Level 3

True or False:

The function f : R C f: \mathbb{R} \rightarrow \mathbb { C } , f ( z ) = z z f(z) = z^ z is continuous.

True Insufficiant information False

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1 solution

Harsh Shrivastava
Feb 24, 2016

0 0 0^{0} is not defined.

Its domain is positive reals and it is continuous in it entire domain . Why are we considering 0? @Harsh Shrivastava @Md Zuhair @Thomas Jacob @Rahil Sehgal

Ankit Kumar Jain - 3 years, 1 month ago

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But isnt it insufficient as it doesnt talks about the domain clearly, Saying it to be real, And if so, then 0 is undefined.

Md Zuhair - 3 years, 1 month ago

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