What is the limit as x approaches 5-of 1/((x-5)^2) ?

The limit as x approaches 5-of 1/((x-5)^2) is infinity

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limit as x approaches 5-of 1/((x-5)^2)

x \to 5 - lim (\frac{1}{( x - 5 ) ^{2}})

\infty

Solution steps

x \to 5 - lim (\frac{1}{( x - 5 ) ^{2}})

For

x

approaching

5

from the left

, x < 5 \Rightarrow (x - 5)^{2} > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

10

f (x) = (x + 1)^{\frac{1}{2}}

\frac{d y}{d x} (x + 2)^{2} = (x^{2} + 1)

\frac{d}{d y} (x) - 0.06 x = 200, y (0) = 0

What is the limit as x approaches 5-of 1/((x-5)^2) ?
The limit as x approaches 5-of 1/((x-5)^2) is infinity