If (x) `{:{(x^(2),x ne "0,"),(4,x=0):}` then find whether f(x) is cons – InterviewSolution

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1.	If (x) `{:{(x^(2),x ne "0,"),(4,x=0):}` then find whether f(x) is constinuosus at x=0
Answer» At x=0 f(0) = 4 R.H.L `=underset(xrarr0^+)limf(x)=underset(hrarr0)(limf(0+h)` `underset(hrarr0)lim(0+h)^(2)=0` `therefore " R.H.L " ne f(0)` `therefore f(x) ` is discontinous at x= 0.

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