Chapter 11, Problem 13CR

To determine

To find: The limit by direct substitution.

Answer to Problem 13CR

The solution of the limit is $\frac{10}{3}$ .

Explanation of Solution

The given limit is solved as,

  $\begin{array}{c}\underset{\mathrm{t}\to 3}{\lim }\left(\frac{{\mathrm{t}}^2+1}{\mathrm{t}}\right)=\underset{\mathrm{t}\to 3}{\lim }\left(\frac{3^2+1}{3}\right)\\ =\frac{9+1}{3}\\ =\frac{10}{3}\end{array}$

Therefore, the solution of the limit is $\frac{10}{3}$ .