What is the limit as x approaches (7)+of 1/((x-7)^2) ?

The limit as x approaches (7)+of 1/((x-7)^2) is infinity

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limit as x approaches (7)+of 1/((x-7)^2)

x \to (7) + lim (\frac{1}{( x - 7 ) ^{2}})

\infty

Solution steps

x \to 7 + lim (\frac{1}{( x - 7 ) ^{2}})

For

x

approaching

7

from the right

, x > 7 \Rightarrow (x - 7)^{2} > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

f (x) = 5 x^{2} + 7 x, at - 13

\frac{\partial}{\partial x} ((x - 1)^{2} e^{x})

\frac{d}{d x} (\frac{132}{x ^{13}})

\int_{0}^{\infty} 3 x e^{- 3 x} d x

\int \frac{x ^{2} - 1}{x ^{3} - 3 x} d x

What is the limit as x approaches (7)+of 1/((x-7)^2) ?
The limit as x approaches (7)+of 1/((x-7)^2) is infinity