Problem
\( \lim _{x \rightarrow 3}(x)+\lim _{x \rightarrow 2}\left(\frac{2 x^{3}}{x^{2}}\right)+\lim _{x \rightarrow 1}\left(x^{2}+1\right)= \)
Solution
Step 1 ：\( \lim _{x \rightarrow 3}(x) = 3 \)
Step 2 ：\( \lim _{x \rightarrow 2}\left(\frac{2 x^{3}}{x^{2}}\right) = \frac{2 (2)^{3}}{(2)^{2}} = 4 \)
Step 3 ：\( \lim _{x \rightarrow 1}\left(x^{2}+1\right) = (1)^{2} + 1 = 2 \)
Step 4 ：\( 3 + 4 + 2 = \boxed{9} \)
