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

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

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

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

- \infty

Solution steps

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

For

x

approaching

3

from the left

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

The denominator is a negative quantity approaching 0 from the left

= - \infty

\int \frac{x - 5}{x + 3} d x

y = (x - 2)^{2}, y = x

f (x) = arcsin (3 x)

f (x) = 2 x (x^{2} + 1)

\int 7 x (x^{2} + 2)^{2} d x

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