What is the limit as x approaches 0-of-6/(x^7) ?

The limit as x approaches 0-of-6/(x^7) is infinity

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limit as x approaches 0-of-6/(x^7)

x \to 0 - lim (- \frac{6}{x ^{7}})

\infty

Solution steps

x \to 0 - lim (- \frac{6}{x ^{7}})

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= - 6 \cdot x \to 0 - lim (\frac{1}{x ^{7}})

For

x

approaching

0

from the left

, x < 0 \Rightarrow x^{7} < 0

The denominator is a negative quantity approaching 0 from the left

= - 6 (- \infty)

Apply Infinity Property:

- c \cdot (- \infty) = \infty

= \infty

\int 0.1 e^{- \frac{x}{10}} d x

\frac{1}{x ^{2} + x + 1}

\int (5 + x^{9})^{6} x^{8} d x

\frac{d}{d x} (2 x^{3} cos (3 x))

x \to 1 lim (6 x + a)

What is the limit as x approaches 0-of-6/(x^7) ?
The limit as x approaches 0-of-6/(x^7) is infinity