What is the sum from n=0 to infinity of 2^n0.5^n ?

The sum from n=0 to infinity of 2^n0.5^n is diverges

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sum from n=0 to infinity of 2^n0.5^n

n = 0 \sum \infty 2^{n} 0. 5^{n}

diverges

Solution steps

n = 0 \sum \infty 2^{n} \cdot 0. 5^{n}

2^{n} \cdot 0. 5^{n} = 1

= n = 0 \sum \infty 1

Every infinite sum of a non-zero constant diverges

= diverges

\frac{d}{d x} (2 x + ln (x))

y = \frac{1}{1 - x}

\frac{x ^{2} + 5}{x}

x \to 4 lim (lo g_{2} (x))

What is the sum from n=0 to infinity of 2^n0.5^n ?
The sum from n=0 to infinity of 2^n0.5^n is diverges