Question

[(1/2)^-1×(-4)^-1]^-1​

Answer 1

Answer:

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Answer 2

Answer:

In mathematics, the infinite series 1/2 + 1/4 + 1/8 + 1/16 + ··· is an elementary example of a geometric series that converges absolutely.



First six summands drawn as portions of a square.



The geometric series on the real line.

There are many different expressions that can be shown to be equivalent to the problem, such as the form: 2−1 + 2−2 + 2−3 + ...

The sum of this series can be denoted in summation notation as:

{\displaystyle {\frac {1}{2}}+{\frac {1}{4}}+{\frac {1}{8}}+{\frac {1}{16}}+\cdots =\sum _{n=1}^{\infty }\left({\frac {1}{2}}\right)^{n}={\frac {\frac {1}{2}}{1-{\frac {1}{2}}}}=1.}