What is the limit as x approaches-infinity of 7/x-2 ?

The limit as x approaches-infinity of 7/x-2 is -2

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limit as x approaches-infinity of 7/x-2

x \to - \infty lim (\frac{7}{x} - 2)

- 2

Solution steps

x \to - \infty lim (\frac{7}{x} - 2)

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{7}{x}) - x \to - \infty lim (2)

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

x \to - \infty lim (2) = 2

= 0 - 2

Simplify

= - 2

\frac{\partial}{\partial x} (0.5 ln (x^{2} + y^{2}))

y = 5 x^{6} ln (x)

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

\frac{d}{d x} (3 x^{4})

What is the limit as x approaches-infinity of 7/x-2 ?
The limit as x approaches-infinity of 7/x-2 is -2