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

\int 10 sin (t) + 3 cos (t) d t

\frac{\partial}{\partial x} (x y)

\frac{d}{d x} (\frac{e ^{x}}{1 + x})

y = 7 cos (x), (\frac{π}{3}, 3.5)

\frac{2}{s ^{2} + 2 s}

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