What is the limit as x approaches infinity of 1-4x ?

The limit as x approaches infinity of 1-4x is -infinity

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limit as x approaches infinity of 1-4x

x \to \infty lim (1 - 4 x)

- \infty

Solution steps

x \to \infty lim (1 - 4 x)

Apply Infinity Property:

x \to \infty lim (a x^{n} + \dots + b x + c) = - \infty, a < 0,

n is odd

a = - 4, n = 1

= - \infty

x \to 1 + lim (3 x + 2)

x \to 0 lim (\frac{tan ( 2 x )}{6 x})

x \to \infty lim (2 x - x)

x \to 0 lim (csc (x) tan (x))

x \to \infty lim (2 x - 6)

What is the limit as x approaches infinity of 1-4x ?
The limit as x approaches infinity of 1-4x is -infinity