What is the limit as x approaches-3+of 1/((x+3)^2) ?

The limit as x approaches-3+of 1/((x+3)^2) is infinity

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limit as x approaches-3+of 1/((x+3)^2)

x \to - 3 + lim (\frac{1}{( x + 3 ) ^{2}})

\infty

Solution steps

x \to - 3 + lim (\frac{1}{( x + 3 ) ^{2}})

For

x

approaching

- 3

from the right

, x > - 3 \Rightarrow (x + 3)^{2} > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

x \to 0 lim (\frac{1}{2} e^{x})

x \to 0 lim (\frac{( x - x cos ( x ) )}{sin ^{2} ( 3 x )})

x \to 6 lim ((x - 6)^{\frac{2}{3}})

x \to 0 lim (\frac{3 cos ( x ) - 3}{x})

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

What is the limit as x approaches-3+of 1/((x+3)^2) ?
The limit as x approaches-3+of 1/((x+3)^2) is infinity