Given,
f(x) = e-1/x
To find : lim f(x) , x ∈ 0
To limit to exist we know,
Thus to find the limit using the concept :
From above equations.
\(\lim\limits_{x \to 0^+}\)f(x) ≠ \(\lim\limits_{x \to 0^+}\)f(x) = \(\lim\limits_{x \to 0}\)f(x)
Thus,
Limit does not exist.