Do Cusps Have Limits?

At a cusp, the function is still continuous, and so the limit exists. ... Since g(x) → 0 on both sides, the left limit approaches 1 × 0 = 0, and the right limit approaches −1 × 0 = 0. Since both one-sided limits are equal, the overall limit exists, and has value zero.

Can there be a limit at a sharp point?

Yes there exists a limit at a sharp point.

Can you have a limit at a corner?

The limit is what value the function approaches when x (independent variable) approaches a point. takes only positive values and approaches 0 (approaches from the right), we see that f(x) also approaches 0. itself is zero! ... exist at corner points.

Sophia Al-Mansoor

Sophia Al-Mansoor

Global Business & E-Commerce Reporter

Sophia analyzes international trade, startup ecosystems, retail transformation, and supply chain logistics for modern digital publications.