For a complex variable Ƶ, if f (Ƶ) = {\\begin{array}{c}\\\{Ƶ\end\frac{array}{|Ƶ |}}} , for\:Ƶ \neq 0 ; 0{, } , for\:Ƶ = 0 ; \}} then,

Correct Answer is : f(Ƶ) is discontinuous at origin

\lim_{Ƶ\rightarrow \infty}⁡f(Ƶ) = 1

f(Ƶ) is discontinuous at origin

\lim_{Ƶ\rightarrow \infty}⁡f(Ƶ) = i

AAI ATC Junior Executive 2018 Shift 3 Paper

Question : 119 of 120

Marks: +1, -0

For a complex variable Ƶ, if $f (Ƶ) = {\{\table \;{Ƶ}/{|Ƶ |}}} , for\:Ƶ ≠ 0 ; 0{, \;} , for\:Ƶ = 0 ; \}}$ then,

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