What is the limit as x approaches 1 of-3/(x-1) ?

The limit as x approaches 1 of-3/(x-1) is diverges

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limit as x approaches 1 of-3/(x-1)

x \to 1 lim (- \frac{3}{x - 1})

diverges

Solution steps

x \to 1 lim (- \frac{3}{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{3}{x - 1}) = - \infty

x \to 1 - lim (- \frac{3}{x - 1}) = \infty

= diverges

y^{^{'}} = y^{3} - 6 x^{2} y^{3}

\int e^{5 θ} sin (6 θ) d θ

1 0^{x}

\frac{d y}{d x} - 5 y = 6 e^{8 x}

\frac{d}{d x} (e^{\frac{1}{x ^{2}}} + \frac{1}{e ^{x^{2}}})

What is the limit as x approaches 1 of-3/(x-1) ?
The limit as x approaches 1 of-3/(x-1) is diverges