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

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

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

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

diverges

Solution steps

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

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

then the limit does not exist

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

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

= diverges

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x \to 2 lim (\frac{250}{0})

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n = 1 \sum \infty \frac{1}{2 n ( n + 1 )}

\frac{d}{d x} (\frac{sin ( 5 x )}{e ^{3 x}})

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