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

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

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

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

diverges

Solution steps

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

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

= diverges

\int 2 cos (2 x) d x

\int \frac{4 x}{50 - x ^{2}} d x

arctan (x^{2})

\frac{d y}{d x} - \frac{3 x ^{2}}{2 y} = 0

\frac{d}{d x} (arctan (2 x^{4}))

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