What is the limit as x approaches 5-of 1/((x-5)^4) ?

The limit as x approaches 5-of 1/((x-5)^4) is infinity

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limit as x approaches 5-of 1/((x-5)^4)

x \to 5 - lim (\frac{1}{( x - 5 ) ^{4}})

\infty

Solution steps

x \to 5 - lim (\frac{1}{( x - 5 ) ^{4}})

For

x

approaching

5

from the left

, x < 5 \Rightarrow (x - 5)^{4} > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

x \to \frac{5 π}{4} lim (sin (x))

x \to 1 lim (x e^{x})

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

x \to - \infty lim (e^{x} - 3 x)

x \to 4 lim (7^{x} + 2 x)

What is the limit as x approaches 5-of 1/((x-5)^4) ?
The limit as x approaches 5-of 1/((x-5)^4) is infinity