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

\int x^{2} + 5 e^{x} + C d x

\int_{0}^{1} (10 + x x) d x

\frac{4 s e ^{- 4 s}}{3 s ^{2} + 27}

\int [x ln (x^{2} + 1)] d x

y^{^{''}} + y = sin (t), y (0) = 0, y^{^{'}} (0) = 0

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