- #1
Bipolarity
- 776
- 2
Suppose I wanted to show that [itex] \lim_{x→c}f(x) ≠ L [/itex] where L and c are real numbers provided in the problem.
One way I could prove the above would be by showing that for some ε>0, there is some x such that for any δ>0, both [itex] 0<|x-c|<δ [/itex] and [itex] |f(x)-L|>ε [/itex] are simultaneously satisfied.My question:
Could I also prove the top statement by showing that for some ε>0, there is some x such that for any δ>0, both [itex] 0<|x-c|<δ [/itex] and {f(x) is undefined} are simultaneously satisfied.
BiP
One way I could prove the above would be by showing that for some ε>0, there is some x such that for any δ>0, both [itex] 0<|x-c|<δ [/itex] and [itex] |f(x)-L|>ε [/itex] are simultaneously satisfied.My question:
Could I also prove the top statement by showing that for some ε>0, there is some x such that for any δ>0, both [itex] 0<|x-c|<δ [/itex] and {f(x) is undefined} are simultaneously satisfied.
BiP