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

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

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

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

- \infty

Solution steps

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

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

x \to 0 + lim (\frac{7}{x}) = \infty

= 0 - \infty

Apply Infinity Property:

c - \infty = - \infty

= - \infty

x \to 0 lim (\frac{9 ^{x} - 1 5 ^{x}}{x})

\frac{d}{d x} (\frac{sin ( x )}{2 - cos ( x )})

\int (\frac{x - 1}{x ^{2}}) d x

y^{^{''}} - 8 y^{^{'}} + 17 = 0

U (x) = - 0.04 x^{2} + 240 x - 10000

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