What is the limit as x approaches 1 of 3/((x-1)^6) ?

The limit as x approaches 1 of 3/((x-1)^6) is infinity

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limit as x approaches 1 of 3/((x-1)^6)

x \to 1 lim (\frac{3}{( x - 1 ) ^{6}})

\infty

Solution steps

x \to 1 lim (\frac{3}{( x - 1 ) ^{6}})

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{3}{( x - 1 ) ^{6}}) = \infty

x \to 1 + lim (\frac{3}{( x - 1 ) ^{6}}) = \infty

= \infty

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

x \to 0 - lim (3 x + 2)

x \to 2 lim (5 x + 5)

x \to 1 lim ((x - 1) (x - ∣ x ∣))

x \to 6 lim (3 x^{2} + 7 x - 16)

What is the limit as x approaches 1 of 3/((x-1)^6) ?
The limit as x approaches 1 of 3/((x-1)^6) is infinity