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}}})

Apply the Limit Chain Rule:

0

= 0

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

x \to - 2 lim (3 x^{3} + y)

x \to - 3 - lim (\frac{1}{( x + 3 ) ^{5}})

x \to \frac{π}{3} lim (cot (x) + 2)

x \to 0 lim (x ln (4 x))

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