The function \({\rm{f}}\left( {\rm{x}} \right) = \left\{ {\begin{array}{*{20}{c}} {\frac{{{{\rm{e}}^{2{\rm{x}}}} - 1}}{{{{\rm{e}}^{\rm{x}}} - 1}}\;,\;x \ne 0}\\ {0,\;x = 0} \end{array}} \right.\)
1
Not continuous at x = 0
2
Continuous everywhere
3
Continuous at x = 0
4
Can’t say