What is the limit as x approaches 0-of (x^2)/7-6/x ?

The limit as x approaches 0-of (x^2)/7-6/x is infinity

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limit as x approaches 0-of (x^2)/7-6/x

x \to 0 - lim (\frac{x ^{2}}{7} - \frac{6}{x})

\infty

Solution steps

x \to 0 - lim (\frac{x ^{2}}{7} - \frac{6}{x})

x \to a lim [f (x) \pm g (x)] = x \to a lim f (x) \pm x \to a lim g (x)

With the exception of indeterminate form

= x \to 0 - lim (\frac{x ^{2}}{7}) - x \to 0 - lim (\frac{6}{x})

x \to 0 - lim (\frac{x ^{2}}{7}) = 0

x \to 0 - lim (\frac{6}{x}) = - \infty

= 0 - (- \infty)

Simplify

0 - (- \infty) : \infty

= \infty

\frac{d y}{d x} - \frac{2 y}{x} = x^{2}

s l o p e in t erce pt (2.3) (5.2)

f^{^{'}} (x) = x ∣ x ∣

\int 2 5 x^{4} - 7 x^{3} + 10 e^{x} - 1 d x

d er i v a t i v e x^{x^{3} - 2 x}

What is the limit as x approaches 0-of (x^2)/7-6/x ?
The limit as x approaches 0-of (x^2)/7-6/x is infinity