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

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

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

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

1

Solution steps

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

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

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

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

= 1 + 0

Simplify

= 1

t an g e n t 3 x, at x = 16

\int x \cdot sin (2 \cdot x) d x

d er i v a t i v e 450 (1 + \frac{3 t}{29 + t ^{2}}), 4

x \to 0 lim (\frac{( x + 4 )}{2})

d er i v a t i v e y = 2 x e^{- x}

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