#### Answer

The value of $\underset{x\to -{{1}^{+}}}{\mathop{\lim }}\,f\left( x \right)$ is $1$.

#### Work Step by Step

The value of $\underset{x\to -{{1}^{+}}}{\mathop{\lim }}\,f\left( x \right)$ is the value of a number, to which the function nears, as the value of x nears $-1$ from the left.
It is seen from the graph that, as the value of x nears $-1$ from the left, the value of the function nears $1$.
Thus, the value of $\underset{x\to -{{1}^{+}}}{\mathop{\lim }}\,f\left( x \right)$ is $1$.