What is the limit as x approaches 0 of e^{-1/(x^4)} ?

The limit as x approaches 0 of e^{-1/(x^4)} is 0

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limit as x approaches 0 of e^{-1/(x^4)}

x \to 0 lim (e^{- \frac{1}{x ^{4}}})

0

Solution steps

x \to 0 lim (e^{- \frac{1}{x ^{4}}})

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 ^{4}}}) = 0

x \to 0 + lim (e^{- \frac{1}{x ^{4}}}) = 0

= 0

What is the limit as x approaches 0 of e^{-1/(x^4)} ?
The limit as x approaches 0 of e^{-1/(x^4)} is 0