What is the limit as x approaches 0 of e^{-1/(x^2)} ?

The limit as x approaches 0 of e^{-1/(x^2)} is 0

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limit as x approaches 0 of e^{-1/(x^2)}

x \to 0 lim (e^{- \frac{1}{x ^{2}}})

0

Solution steps

x \to 0 lim (e^{- \frac{1}{x ^{2}}})

x \to a - lim f (x) = x \to a + lim f (x) = L

then

x \to a lim f (x) = L

x \to 0 - lim (e^{- \frac{1}{x ^{2}}}) = 0

x \to 0 + lim (e^{- \frac{1}{x ^{2}}}) = 0

= 0

\frac{6}{2 - 4 x}

\frac{d}{d x} (x e^{x^{2} y})

7 x^{2} y^{^{'}} = y^{^{'}} + 5 x e^{- y}

y^{^{''}} - 6 y^{^{'}} + 9 y = t^{- 3} e^{3 t}

\frac{( 2 x y + 1 )}{y} d x + \frac{( y - x )}{y ^{2}} d y = 0

What is the limit as x approaches 0 of e^{-1/(x^2)} ?
The limit as x approaches 0 of e^{-1/(x^2)} is 0