(a) Find the Maclaurin series for the function f(x)= 1 + x 1 integrating each term,...

Transcribed Image Text:

(a) Find the Maclaurin series for the function f(x)= 1 + x² 1 integrating each term, show that arctan.x = Σ(1)"+1, -. (c) Show that this series x²n-1 2n-1 1 1 converges for -1 ≤x≤1 and hence show that 1--+---+...= 3 5 7 1 1 T 4 (b) Hence by (a) Find the Maclaurin series for the function f(x)= 1 + x² 1 integrating each term, show that arctan.x = Σ(1)"+1, -. (c) Show that this series x²n-1 2n-1 1 1 converges for -1 ≤x≤1 and hence show that 1--+---+...= 3 5 7 1 1 T 4 (b) Hence by

Answer rating: 100% (QA)

The detailed ... View the full answer