What is the limit as x approaches 0-of 6+1/x ?

The limit as x approaches 0-of 6+1/x is -infinity

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limit as x approaches 0-of 6+1/x

x \to 0 - lim (6 + \frac{1}{x})

- \infty

Solution steps

x \to 0 - lim (6 + \frac{1}{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 (6) + x \to 0 - lim (\frac{1}{x})

x \to 0 - lim (6) = 6

x \to 0 - lim (\frac{1}{x}) = - \infty

= 6 - \infty

Apply Infinity Property:

c - \infty = - \infty

= - \infty

\frac{\partial}{\partial x} (y e^{- x y})

\frac{\partial}{\partial x} (\frac{x}{x + 1})

x \to \infty lim (x (1)^{x})

\int e^{8 θ} sin (9 θ) d θ

12 e^{x}

What is the limit as x approaches 0-of 6+1/x ?
The limit as x approaches 0-of 6+1/x is -infinity