What is the limit as x approaches 3+of 1/(x^3-27) ?

The limit as x approaches 3+of 1/(x^3-27) is infinity

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limit as x approaches 3+of 1/(x^3-27)

x \to 3 + lim (\frac{1}{x ^{3} - 27})

\infty

Solution steps

x \to 3 + lim (\frac{1}{x ^{3} - 27})

For

x

approaching

3

from the right

, x > 3 \Rightarrow x^{3} - 27 > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

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

36 (4 P + 1)^{8}

\int (4 y - y^{2})^{2} d y

e^{x + y}

\int sin (\frac{x}{5}) sin (\frac{x}{2}) d x

What is the limit as x approaches 3+of 1/(x^3-27) ?
The limit as x approaches 3+of 1/(x^3-27) is infinity