What is the limit as x approaches 1 of 4/(x-1) ?

The limit as x approaches 1 of 4/(x-1) is diverges

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limit as x approaches 1 of 4/(x-1)

x \to 1 lim (\frac{4}{x - 1})

diverges

Solution steps

x \to 1 lim (\frac{4}{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{4}{x - 1}) = \infty

x \to 1 - lim (\frac{4}{x - 1}) = - \infty

= diverges

\frac{d ^{2}}{d x ^{2}} (2 x^{3})

\frac{d y}{d x} - 2 y = 1 - 2 x

a \to - 2 lim (a^{2} + 3 m - 1)

y^{^{''}} + y^{^{'}} + y = 5 cos (4 x)

f (x) = x^{2} + 3 x + 4 π

What is the limit as x approaches 1 of 4/(x-1) ?
The limit as x approaches 1 of 4/(x-1) is diverges