f(x)=e^{-1/x2}if x is not =0

=0 if x=0

then f is continuous. how it can be proved.

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- Jun 13th 2012, 09:22 AMsaravananbscontinous function
f(x)=e

^{-1/x2}if x is not =0

=0 if x=0

then f is continuous. how it can be proved. - Jun 13th 2012, 09:36 AMProve ItRe: continous function
- Jun 13th 2012, 09:38 AMReckonerRe: continous function
- Jun 13th 2012, 09:40 AMsaravananbsRe: continous function
yes at x=0, it is continuous

but for other points , how its derived.

is it like limit x-> a+h f(x) = limit x-> a-h f(x) =f(a)? - Jun 13th 2012, 09:55 AMemakarovRe: continous function
- Jun 13th 2012, 10:05 AMsaravananbsRe: continous function
- Jun 13th 2012, 10:06 AMProve ItRe: continous function
All are continuous where x =/= 0.

- Jun 13th 2012, 10:06 AMemakarovRe: continous function
Yes, all are continuous for x ≠ 0.