Chapter 11, Problem 14CR

To determine

To find: The limit by direct substitution.

Answer to Problem 14CR

The solution of the limit is $\frac{11}{7}$ .

Explanation of Solution

The given limit is solved as,

  $\begin{array}{c}\underset{\mathrm{x}\to 2}{\lim }\left(\frac{3\mathrm{x}+5}{5\mathrm{x}-3}\right)=\underset{\mathrm{x}\to 2}{\lim }\left(\frac{3\left(2\right)+5}{5\left(2\right)-3}\right)\\ =\frac{6+5}{10-3}\\ =\frac{11}{7}\end{array}$

Therefore, the solution of the limit is $\frac{11}{7}$ .