What is the limit as x approaches 0+of (-8)/(3x^{1/7)} ?

The limit as x approaches 0+of (-8)/(3x^{1/7)} is -infinity

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limit as x approaches 0+of (-8)/(3x^{1/7)}

x \to 0 + lim (\frac{- 8}{3 x ^{\frac{1}{7}}})

- \infty

Solution steps

x \to 0 + lim (\frac{- 8}{3 x ^{\frac{1}{7}}})

For

x

approaching

0

from the right

, x > 0 \Rightarrow 3 x^{\frac{1}{7}} > 0

The denominator is a positive quantity approaching 0 from the right

= - \infty

n = 1 \sum \infty \frac{4}{n ^{6}}

y = lo g_{10} (2 x - 1)

x \to 0 lim (\frac{tan ( 4 x )}{x})

f (x) = \frac{x}{3 x - 8}, at x = 2

y^{^{''}} - 5 y^{^{'}} + 6.25 y = 0, y (0) = 1, y^{^{'}} (0) = 0.5

What is the limit as x approaches 0+of (-8)/(3x^{1/7)} ?
The limit as x approaches 0+of (-8)/(3x^{1/7)} is -infinity