What is the limit as x approaches-infinity of 1/x+3 ?

The limit as x approaches-infinity of 1/x+3 is 3

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limit as x approaches-infinity of 1/x+3

x \to - \infty lim (\frac{1}{x} + 3)

3

Solution steps

x \to - \infty lim (\frac{1}{x} + 3)

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{1}{x}) + x \to - \infty lim (3)

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

x \to - \infty lim (3) = 3

= 0 + 3

Simplify

= 3

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

\frac{d}{d x} (\frac{x}{sin ( x ) + cos ( x )})

\frac{d}{d x} (e^{5 x} cos (3 x))

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

\int_{0}^{\frac{π}{3}} 1 sec^{2} (x) d x

What is the limit as x approaches-infinity of 1/x+3 ?
The limit as x approaches-infinity of 1/x+3 is 3