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'''3.''' Use [[mathematical induction]] to show that <math>\lim_{x \rightarrow x_0} a_n x^n + ... + a_1 x + a_0 = a_n x_0^n + ... + a_0 \ </math>.   

'''3.''' Use [[Proof by induction|mathematical induction]] to show that <math>\lim_{x \rightarrow x_0} a_n x^n + ... + a_1 x + a_0 = a_n x_0^n + ... + a_0 \ </math>.   

You may assume that for any functions with valid limits <math>A, B, \ </math>

You may assume that for any functions with valid limits <math>A, B, \ </math>