The following functions are all continuous on C {0}. Decide whether or not they can be...

 

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The following functions are all continuous on C\ {0}. Decide whether or not they can be extended to a continuous function on all C. If so, find that extension. (a) f(x) = (3) ² (b) f(²)= e¯¹²/1/2 Remark: This question is asking if there exists a complex number w such that the function f defined by: is continuous on all C. f(z) = (f(z), [w, 20 2=0 The following functions are all continuous on C\ {0}. Decide whether or not they can be extended to a continuous function on all C. If so, find that extension. (a) f(x) = (3) ² (b) f(²)= e¯¹²/1/2 Remark: This question is asking if there exists a complex number w such that the function f defined by: is continuous on all C. f(z) = (f(z), [w, 20 2=0