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

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

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

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

\infty

Solution steps

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

For

x

approaching

2

from the left

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

The denominator is a positive quantity approaching 0 from the right

= \infty

\frac{d y}{d x} = 4 x - 5 y

2 x^{2} + 5 x + 1

cos^{2} (t) y^{^{'}} = 1

\int \frac{1}{e ^{y}} d y

\int_{- 5}^{5} 25 - x^{2} d x

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