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

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

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

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

\infty

Solution steps

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

For

x

approaching

3

from the left

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

The denominator is a positive quantity approaching 0 from the right

= \infty

2 e^{4 t}

x^{4}

f (x) = (3 x - x^{3}) (7 x + 6)

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

\int 2 x e^{2 x} d x

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