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The Latin phrase is "reductio ad absurdum", meaning reduction to absurdity. You assume the opposite and show that logically it leads to a contradiction and therefore cannot be true.
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Because it leads to the limit concept which in turn leads to concept of derivative...
It leads to the result.AnswerNot always. Sometimes it leads you to confusion.
Yes, but not at the level of mathematics you are at. In elementary statistics, the line of best fit (if it exists) is always a straight line representing a linear relationship between two variables. The equation of the line is most often calculated using the least squares method. [This minimises the sum of the squares of the vertical differences between the values "predicted" by the line and those actually recorded. The process always leads to a straight line. However, in more advanced statistics, you will learn about transformations. If the relationship between two variables, X and Y, is an inverse relationship, then the relationship between 1/X and Y is linear and you can fit a linear best fit line to the data set given by 1/X and Y. This can then be used to calculate the best fit inverse curve.