Chapter 11.1, Problem 70E

To determine

To find : Find the limit by direct substitution.

Answer to Problem 70E

The value of limit is $\underset{x\to e}{\lim }\ln x=1$

Explanation of Solution

Given information : The given limit is $\underset{x\to e}{\lim }\ln x$

The given limit is $\underset{x\to e}{\lim }\ln x$

To evaluate the limit we directly substitute the value $x=e$ in the function.

So we get

  $\begin{array}{c}\underset{x\to e}{\lim }\ln x=\ln e\\ =1\end{array}$ Since $\ln x$ has base e and we know ${\ln }_{a}a=1$