the function is continuous everywhere except the origin - the origin sets the denominator to 0

substitute (1,1) into the function, and we obtain the limit is \(\displaystyle{\frac{{{1}}}{{{2}}}}\) - by continuity of the function.

substitute (1,1) into the function, and we obtain the limit is \(\displaystyle{\frac{{{1}}}{{{2}}}}\) - by continuity of the function.