What is the limit as x approaches 0-of 5+2/x ?

The limit as x approaches 0-of 5+2/x is -infinity

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limit as x approaches 0-of 5+2/x

x \to 0 - lim (5 + \frac{2}{x})

- \infty

Solution steps

x \to 0 - lim (5 + \frac{2}{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 (5) + x \to 0 - lim (\frac{2}{x})

x \to 0 - lim (5) = 5

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

= 5 - \infty

Apply Infinity Property:

c - \infty = - \infty

= - \infty

\frac{\partial}{\partial x} (x y^{2} + 3 x y + \frac{1}{y})

\int \frac{1}{( sin ( x ) - cos ( x ) - 1 )} d x

f (x) = ln (3) x^{2}

\frac{x ^{9} - 6 x x}{x}

\frac{d}{d x} (5^{x, x})

What is the limit as x approaches 0-of 5+2/x ?
The limit as x approaches 0-of 5+2/x is -infinity