For a polynomial reduce , substitute Z in for X. Show that this is . From calculus I know that as the lim x approaches z that is the derivative, but if I just substitute, how would I compute that? Thanks.
Last edited by tttcomrader; Nov 13th 2008 at 11:42 AM.
Follow Math Help Forum on Facebook and Google+
Originally Posted by tttcomrader For a polynomial reduce , substitute Z in for X. Show that this is . From calculus I know that as the lim x approaches z that is the derivative, but if I just substitute, how would I compute that? Thanks. By linearity, you just need to study the case of , i.e. to consider . This is given by the usual formula: . And now, substitute.
Originally Posted by Laurent This is given by the usual formula: . And now, substitute. Thanks for your help, but may I ask what formula did we use here?
Hello, Originally Posted by tttcomrader Thanks for your help, but may I ask what formula did we use here? You can recognize that this is the sum of a geometric sequence : Hence and this gives the formula Laurent wrote.
View Tag Cloud