What is the limit as n approaches infinity of 1000(1.06)^n ?

The limit as n approaches infinity of 1000(1.06)^n is infinity

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limit as n approaches infinity of 1000(1.06)^n

n \to \infty lim (1000 (1.06)^{n})

\infty

Solution steps

n \to \infty lim (1000 \cdot 1.0 6^{n})

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

= 1000 \cdot n \to \infty lim (1.0 6^{n})

Apply the common limit:

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

= 1000 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

y^{^{''}} + y = 0, y (\frac{π}{3}) = 4, y^{^{'}} (\frac{π}{3}) = - 8

e^{x}, e^{- 4 x}, [0, ln (4)]

f (x) = 5 x^{3} - 5 x, at x = 1

\frac{d}{d x} (e^{3 - x^{2}})

n = 4 \sum \infty \frac{1}{n ^{\frac{3}{2}}}

What is the limit as n approaches infinity of 1000(1.06)^n ?
The limit as n approaches infinity of 1000(1.06)^n is infinity