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

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

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

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

\infty

Solution steps

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

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

then

x \to a lim f (x) = L

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

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

= \infty

\int (e^{3 x} + \frac{1}{x}) d x

x \to 0 lim (\frac{2 ^{3 x} - 1}{x})

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\int \frac{7}{x 49 - ( ln ( x ) ) ^{2}} d x

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