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

The limit as x approaches 1 of (e^x)/(1-x) is diverges

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limit as x approaches 1 of (e^x)/(1-x)

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

diverges

Solution steps

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

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

then the limit does not exist

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

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

= diverges

s \to 0 lim (\frac{1}{s})

\int_{0}^{1} 2 π (2 - y) (7 y^{2}) d y

x = 49 - y^{2}, x = y^{2} - 49

x \to 0 lim (lo g_{5} (3 x))

What is the limit as x approaches 1 of (e^x)/(1-x) ?
The limit as x approaches 1 of (e^x)/(1-x) is diverges