- #1
Hammad Shahid
- 64
- 3
- Homework Statement
- Taking notes on the formal definition of limits.
- Relevant Equations
- lim (as x -> c ) = L
δ > 0 ; ϵ > 0
*Given: δ = |all real numbers|
*Given: ϵ = |all real numbers|
For any x value within +/- |δ| of c, we can find a y=f(x) within the corresponding +/-|ϵ| of L. According to my professor, the mathematical representation of this is |x-c| < δ and |f(x) - L | < ϵI fail to understand why it cannot be equal to ϵ or δ.
*Given: ϵ = |all real numbers|
For any x value within +/- |δ| of c, we can find a y=f(x) within the corresponding +/-|ϵ| of L. According to my professor, the mathematical representation of this is |x-c| < δ and |f(x) - L | < ϵI fail to understand why it cannot be equal to ϵ or δ.