What is the limit as x approaches infinity of (7.5x+120000)/x ?

The limit as x approaches infinity of (7.5x+120000)/x is 7.5

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limit as x approaches infinity of (7.5x+120000)/x

x \to \infty lim (\frac{7.5 x + 120000}{x})

7.5

Solution steps

x \to \infty lim (\frac{7.5 x + 120000}{x})

Divide by highest denominator power:

7.5 + \frac{120000}{x}

= x \to \infty lim (7.5 + \frac{120000}{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 (7.5) + x \to \infty lim (\frac{120000}{x})

x \to \infty lim (7.5) = 7.5

x \to \infty lim (\frac{120000}{x}) = 0

= 7.5 + 0

Simplify

= 7.5

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What is the limit as x approaches infinity of (7.5x+120000)/x ?
The limit as x approaches infinity of (7.5x+120000)/x is 7.5