Consider $\displaystyle \lim_{{{x}\rightarrow{7}}}{e}^{{{7}{x}-{x}^{{2}}}}$.

a) $\displaystyle \lim_{{{x}\rightarrow{7}}}{7}{x}-{x}^{{2}}$ = Preview Question 6 Part 1 of 3  

b) If we let $\displaystyle {t}={7}{x}-{x}^{{2}}$, then we can rewrite the limit as



c) Therefore, $\displaystyle \lim_{{{x}\rightarrow{7}}}{e}^{{{7}{x}-{x}^{{2}}}}=$ Preview Question 6 Part 3 of 3