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In this video tutorial, we will be implementing the fixed point iteration method into Google Sheets to find the leftmost root of the function e to the power of 0.5 x minus x minus 2. To do this, we first need to find our g of x functions for f of x by setting f of x to zero and solving for one of our x terms. We have two potential g of x terms: e to the power of 0.5 x minus 2 for g1 of x and 2 lon of x plus 2 for g2 of x. We can choose either equation to begin solving, but if the slope of the tangent is greater than 1 in absolute terms at our root of interest, the fixed point iteration method will not work.
