Question

Discuss continuity of f(x) at x = 0, if
$straight f left parenthesis straight x right parenthesis equals open curly brackets table attributes columnalign left end attributes row cell 1 over straight x plus fraction numerator log left parenthesis 1 minus straight x right parenthesis over denominator straight x squared end fraction comma space space if space straight x not equal to 0 end cell row cell space space space space space space space space minus 1 half space space space space space space space space space space space space space comma space if space straight x equals 0 end cell end table close$

Solution

Syntax error from line 1 column 1555 to line 1 column 1658. Unexpected '<mlongdiv '.

∴ f is continuous at x = 0.

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