\[1)\ \lim_{x \rightarrow 2}\left( x^{2} - 4x + 6 \right) = 2\]
\[2^{2} - 4 \bullet 2 + 6 = 2\]
\[4 - 8 + 6 = 2\]
\[2 = 2.\]
\[Равенство\ доказано.\]
\[2)\ \lim_{x \rightarrow 1}\left( (x - 1)^{4} + 3 \right) = 3\]
\[(1 - 1)^{4} + 3 = 3\]
\[0^{4} + 3 = 3\]
\[3 = 3.\]
\[Равенство\ доказано.\]