- #1
drama2
- 6
- 0
i'm battling unsuccessfully to find a delta epsilon proof for continuity of exponential function.
this is what I've tried so far but its failed either because I've gone down a blind alley or got stuck on the right path I'm not sure which one:
find
lim e^x
x->a
therefore (epsilon) or error = e^a - e^a/e^(a-x)
e^a(1- e^(x-a)) = epsilon/error
as you can see i don't know what's going on. this is frustrating for me and i would really appreciate a convincing demonstration of why e^x is continuous.
this is what I've tried so far but its failed either because I've gone down a blind alley or got stuck on the right path I'm not sure which one:
find
lim e^x
x->a
therefore (epsilon) or error = e^a - e^a/e^(a-x)
e^a(1- e^(x-a)) = epsilon/error
as you can see i don't know what's going on. this is frustrating for me and i would really appreciate a convincing demonstration of why e^x is continuous.