Continuity And Differentiability

Question

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

Solution

Syntax error from line 1 column 1221 to line 1 column 1324. Unexpected '<mlongdiv '.

∴ f is continuous at x = 0.