What is the limit as x approaches infinity of 7+6/x ?

The limit as x approaches infinity of 7+6/x is 7

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limit as x approaches infinity of 7+6/x

x \to \infty lim (7 + \frac{6}{x})

7

Solution steps

x \to \infty lim (7 + \frac{6}{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 (7) + x \to \infty lim (\frac{6}{x})

x \to \infty lim (7) = 7

x \to \infty lim (\frac{6}{x}) = 0

= 7 + 0

Simplify

= 7

\frac{d y}{d x}, y = \frac{1}{x}

\int \frac{1}{( x - 1 )} d x

f (x) = \frac{7 x + 4}{x + 70}

\int \frac{3}{25 - x ^{2}} d x

\frac{d}{d x} (arcsec (x))

What is the limit as x approaches infinity of 7+6/x ?
The limit as x approaches infinity of 7+6/x is 7