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

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

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

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

diverges

Solution steps

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

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

then the limit does not exist

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

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

= diverges

x \to - \infty lim (x^{8})

x \to 0 lim (x^{3 x^{2}})

x \to \infty lim (\frac{ln ( e ^{3 x} + x ^{2} )}{x})

x \to - 1 lim (5 x^{2} + 3 x - 4)

x \to 0 lim (\frac{x ^{2} + 6 x}{x})

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