What is the limit as x approaches infinity of log_{2}(log_{2}(x)-1) ?

The limit as x approaches infinity of log_{2}(log_{2}(x)-1) is infinity

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limit as x approaches infinity of log_{2}(log_{2}(x)-1)

x \to \infty lim (lo g_{2} (lo g_{2} (x) - 1))

\infty

Solution steps

x \to \infty lim (lo g_{2} (lo g_{2} (x) - 1))

Apply the Limit Chain Rule:

\infty

= \infty

\int_{0}^{\frac{π}{2}} sin^{5} (x) d x

\int_{0}^{2} 8000 t e^{- 0.6 t} d t

\int \frac{6 x ^{2} + 3 x + 10}{x ^{3} + 2 x ^{2} + 5 x} d x

x^{2} + 40

\frac{d}{d x} (\frac{x ^{5} - 2 x}{- 5})

What is the limit as x approaches infinity of log_{2}(log_{2}(x)-1) ?
The limit as x approaches infinity of log_{2}(log_{2}(x)-1) is infinity