What is the limit as x approaches 1 of 2/((x-1)^4) ?

The limit as x approaches 1 of 2/((x-1)^4) is infinity

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limit as x approaches 1 of 2/((x-1)^4)

x \to 1 lim (\frac{2}{( x - 1 ) ^{4}})

\infty

Solution steps

x \to 1 lim (\frac{2}{( x - 1 ) ^{4}})

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

then

x \to a lim f (x) = L

x \to 1 - lim (\frac{2}{( x - 1 ) ^{4}}) = \infty

x \to 1 + lim (\frac{2}{( x - 1 ) ^{4}}) = \infty

= \infty

\int u^{- 1} d u

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\int_{2}^{4} (1 - (x - 3)^{2}) d x

\frac{\partial}{\partial x} (x + 1)

\int_{1}^{4} y ln (y) d y

What is the limit as x approaches 1 of 2/((x-1)^4) ?
The limit as x approaches 1 of 2/((x-1)^4) is infinity