What is the limit as x approaches 5 of 2/((x-5)^6) ?

The limit as x approaches 5 of 2/((x-5)^6) is infinity

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limit as x approaches 5 of 2/((x-5)^6)

x \to 5 lim (\frac{2}{( x - 5 ) ^{6}})

\infty

Solution steps

x \to 5 lim (\frac{2}{( x - 5 ) ^{6}})

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

then

x \to a lim f (x) = L

x \to 5 - lim (\frac{2}{( x - 5 ) ^{6}}) = \infty

x \to 5 + lim (\frac{2}{( x - 5 ) ^{6}}) = \infty

= \infty

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

t e^{- 5 t} sin (5 t)

\int 6 e^{7} d x

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

y^{^{''}} + 5 y^{^{'}} + 6 y = e - 3 x

What is the limit as x approaches 5 of 2/((x-5)^6) ?
The limit as x approaches 5 of 2/((x-5)^6) is infinity