Chapter 2.2, Problem 31E

Estimating limits graphically and numerically Use a graph of f estimate $\underset{x\to a}{\lim }f\left(x\right)$or to show that the limit does not exist. Evaluate f(x) near x = a to support your conjecture.

31.     $f\left(x\right)=\frac{\sin \left(x+1\right)}{\left|x+1\right|};a=-1$