Question: The CORDIC ( CO ordinate R otation DI gital C alculation) algorithm is used by most calculators to evaluate trigonometric and logarithmic functions. An important

The CORDIC (COordinate Rotation DIgital Calculation) algorithm is used by most calculators to evaluate trigonometric and logarithmic functions. An important number in the CORDIC algorithm, called the aggregate constant, is given by the infinite product 2n II n=0V1 + 2n N where an n=0 1 0 2n represents the product a₀ ? a₁ ? ? ? a_n.

This infinite product is the limit of the sequence 2n 2n n=0V1 + 22nn=0V1 + 22nn=0V1 + 22n 2

Estimate the value of the aggregate constant.

2n II n=0V1 + 2n N where an n=0 1 0 2n 2n 2n n=0V1 + 22nn=0V1 + 22nn=0V1 + 22n 2

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