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

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

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

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

\infty

Solution steps

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

For

x

approaching

2

from the right

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

The denominator is a positive quantity approaching 0 from the right

= \infty

\int (2 x^{2} - 1) d x

\int 2 cos (x) + 7 d x

\frac{d}{d x} (a x^{2} + b y (x)^{2} + c)

\int_{0}^{y} \int_{0}^{x} (x^{2} + y^{2})^{\frac{3}{2}} d y d x

a re a 3 x, \frac{3}{4} x, 70 - x^{2}

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