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 infinity

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

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

\infty

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}}}) = \infty

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

= \infty

x \to 0 - lim (x^{2} - 64)

x \to 0 lim (3 x + 6 x)

\frac{d}{d x} (8 - x^{3})

f (x) = \frac{3}{x}, at x = - 2

k = 1 \sum \infty \frac{x ^{k}}{k 3 ^{k}}

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 infinity