Material Tensile Failure (Mechanical & Civil Engineering)

A materials testing laboratory subjects a high-tensile steel structural reinforcement rod to axial tensile loading. The internal tensile stress $S(x)$ (in megapascals, $\text{MPa}$) is measured as a function of elongation displacement $x$ (in millimeters), up to its critical physical fracture threshold at $x = 10\text{ mm}$:

1. Evaluate the left-sided limit $\lim_{x\to 10^-} S(x)$.
2. Evaluate the right-sided limit $\lim_{x\to 10^+} S(x)$.
3. Determine whether $\lim_{x\to 10} S(x)$ exists, and interpret the structural significance of the boundary behavior.