Test a piecewise boundary
g(x) = 3x - 1 for x < 2; g(2) = c; g(x) = x^2 + 1 for x > 2.
- Left limit: 3(2)-1.
- Right limit: 2^2+1.
- Then compare c.
limits, continuity, and asymptotic behavior
g(x) = 3x - 1 for x < 2; g(2) = c; g(x) = x^2 + 1 for x > 2.
Pause. Find what matters. Then make your move.