1. Why This Limit Does NOT Exist 🤯 #calculus #limits #math #manim #mathematics #shorts #apcalculus

Added: 2026-05-23

[00:00:00]f of x equals 1 / x - 1. This looks simple, but the behavior near x = 1 is very different. From the left, as x approaches 1, the denominator becomes a tiny negative number. So, f of x goes to negative infinity. From the right, the denominator becomes a tiny positive number. So, f of x goes to positive infinity. Negative infinity does not equal positive infinity. The left and right limits completely disagree.

[00:00:24]Therefore, the limit does not exist, DNE.