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

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

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

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

0

Solution steps

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

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

= 0

x \to 0 lim (x^{8})

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

x \to 0 + lim (tan (x ln (x)))

x \to - \frac{π}{2} - lim (7 sin (x) + 9)

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

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