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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Originally Posted by saravananbs f(x)=e^{-1/x2} if x is not =0 =0 if x=0 then f is continuous. how it can be proved. See if .
Originally Posted by saravananbs f(x)=e^{-1/x2} if x is not =0 =0 if x=0 then f is continuous. how it can be proved. We need to show that Now evaluate the limit and show that it equals
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)?
Last edited by saravananbs; Jun 13th 2012 at 08:45 AM.
Originally Posted by saravananbs yes at x=0, it is continuous but for other points , how its derived. One way is to say that is continuous as the composition of continuous functions.
Originally Posted by emakarov One way is to say that is continuous as the composition of continuous functions. i think three function are involved , e^x ,1/x, x^2 all are continuous. is it right.
All are continuous where x =/= 0.
Yes, all are continuous for x ≠ 0.
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