What is the limit as x approaches-infinity of 2ax ?

The limit as x approaches-infinity of 2ax is -infinity

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limit as x approaches-infinity of 2ax

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

- \infty

Solution steps

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

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= 2 a \cdot x \to - \infty lim (x)

Apply the common limit:

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

= 2 a (- \infty)

Simplify

2 a (- \infty) : - \infty

= - \infty

x \to 0 lim (\frac{cos ( x )}{2 x})

x \to 3 lim (\frac{53}{3 - x})

x \to 3 lim (\frac{x - 1}{x - 3})

x \to 0 lim (- 1 + ln (x) x)

x \to 1 lim (\frac{x ^{4} + 3 x ^{3} - 13 x ^{2} - 27 x + 36}{x ^{2} + 3 x - 4})

What is the limit as x approaches-infinity of 2ax ?
The limit as x approaches-infinity of 2ax is -infinity