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

The limit as x approaches-infinity of-2^x is 0

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limit as x approaches-infinity of-2^x

x \to - \infty lim (- 2^{x})

0

Solution steps

x \to - \infty lim (- 2^{x})

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

= - x \to - \infty lim (2^{x})

Apply the common limit:

x \to - \infty lim (a^{x}) = 0, a > 1

= - 0

Simplify

= 0

x \to 0 lim (\frac{( 3 - x ) ^{2} - 9}{x})

x \to 3 lim (10 - 4 x)

x \to \frac{π}{2} lim (\frac{tan ( x )}{\frac{3}{( 2 x - π )}})

x \to 0 lim (1 - sin (x))

x \to 3 + lim (\frac{6}{3 - x})

What is the limit as x approaches-infinity of-2^x ?
The limit as x approaches-infinity of-2^x is 0