What is the limit as x approaches-infinity of 2/x+1 ?

The limit as x approaches-infinity of 2/x+1 is 1

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limit as x approaches-infinity of 2/x+1

x \to - \infty lim (\frac{2}{x} + 1)

1

Solution steps

x \to - \infty lim (\frac{2}{x} + 1)

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{2}{x}) + x \to - \infty lim (1)

x \to - \infty lim (\frac{2}{x}) = 0

x \to - \infty lim (1) = 1

= 0 + 1

Simplify

= 1

x \to 0 lim (1 + x^{3})

1 - cos (2 x)

f (x) = (x^{2} - 7) (x^{2} + 6)

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

\frac{5}{( s ^{2} + 5 ^{2} ) ^{2}}

What is the limit as x approaches-infinity of 2/x+1 ?
The limit as x approaches-infinity of 2/x+1 is 1