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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as x approaches infinity of 1+a/x

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

1

Solution steps

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

x \to \infty lim (1) = 1

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

= 1 + 0

Simplify

= 1

\int \frac{3}{( 5 v - 1 ) ^{4}} d v

\frac{d}{d x} (cos (x) - x)

(x - 5)^{2} + (y - 3)^{2} = 18, (8, 6)

\int_{0}^{4} π (3 x)^{2} d x

f (x) = cos (tan (x))

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