What is the limit as x approaches 0-of 2+3/x ?

The limit as x approaches 0-of 2+3/x is -infinity

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limit as x approaches 0-of 2+3/x

x \to 0 - lim (2 + \frac{3}{x})

- \infty

Solution steps

x \to 0 - lim (2 + \frac{3}{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 (2) + x \to 0 - lim (\frac{3}{x})

x \to 0 - lim (2) = 2

x \to 0 - lim (\frac{3}{x}) = - \infty

= 2 - \infty

Apply Infinity Property:

c - \infty = - \infty

= - \infty

\frac{d y}{d t} - 4 y = 10 sin (2 t), y (0) = 0

\frac{d}{d x} (e^{arccsc (x)})

\frac{d}{d x} (- a sin (x) + b cos (x))

f (x) = 4 x

\frac{\partial}{\partial x} (- 15 (3 x + y)^{4})

What is the limit as x approaches 0-of 2+3/x ?
The limit as x approaches 0-of 2+3/x is -infinity