What is the limit as x approaches-infinity of 4/x-12 ?

The limit as x approaches-infinity of 4/x-12 is -12

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limit as x approaches-infinity of 4/x-12

x \to - \infty lim (\frac{4}{x} - 12)

- 12

Solution steps

x \to - \infty lim (\frac{4}{x} - 12)

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 - \infty lim (\frac{4}{x}) - x \to - \infty lim (12)

x \to - \infty lim (\frac{4}{x}) = 0

x \to - \infty lim (12) = 12

= 0 - 12

Simplify

= - 12

\frac{d}{d x} (2 sec^{2} (x) \cdot tan (x))

x d x + (x^{2} y + 4 y) d y = 0

y^{^{'}} + 5 y = 2

\int \frac{( x - 1 ) ^{3}}{x} d x

\frac{d}{d x} (A (e^{2 x} + 2 e^{2 x} x))

What is the limit as x approaches-infinity of 4/x-12 ?
The limit as x approaches-infinity of 4/x-12 is -12