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

The limit as x approaches 0 of-e^{1/x} is diverges

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

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

diverges

Solution steps

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

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

then the limit does not exist

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

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

= diverges

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

12 - 8 x + x^{2}

y = \frac{1}{1 - 8 x}, - 10 \leq x \leq 0

\int 5 \frac{sin ( 2 x )}{sin ( x )} d x

\frac{d}{d x} (1 + 2 x - 1 - 4 x)

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