- #1
FredericChopin
- 101
- 0
Here is the definition of the limit of f(x) is equal to L as x approaches a:
"For every positive real number ϵ > 0 there exists a positive real number δ > 0 so that whenever 0 < |x − a| < δ, we have |f(x) − L| < ϵ."
But what is the difference if I use this definition?
"For every positive real number δ > 0 there exists a positive real number ϵ > 0 so that whenever 0 < |x − a| < δ, we have |f(x) − L| < ϵ."
"For every positive real number ϵ > 0 there exists a positive real number δ > 0 so that whenever 0 < |x − a| < δ, we have |f(x) − L| < ϵ."
But what is the difference if I use this definition?
"For every positive real number δ > 0 there exists a positive real number ϵ > 0 so that whenever 0 < |x − a| < δ, we have |f(x) − L| < ϵ."