What is the limit as x approaches infinity of pi5^x ?

The limit as x approaches infinity of pi5^x is infinity

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limit as x approaches infinity of pi5^x

x \to \infty lim (π 5^{x})

\infty

Solution steps

x \to \infty lim (π 5^{x})

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

= π \cdot x \to \infty lim (5^{x})

Apply the common limit:

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

= π \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

y = x^{2} - 2 x, y = - x^{4}

y = 7 x^{3} + 2

\int (t + 200)^{2} d t

\frac{d}{d x} (\frac{2 - x e ^{x}}{x + e ^{x}})

y^{^{'''}} - 3 y^{^{''}} + 3 y^{^{'}} - y = x - 4 e^{x}

What is the limit as x approaches infinity of pi5^x ?
The limit as x approaches infinity of pi5^x is infinity