OCR FP2 2009 June — Question 3

Exam BoardOCR
ModuleFP2 (Further Pure Mathematics 2)
Year2009
SessionJune
TopicTaylor series
TypeMaclaurin series for composite exponential/root functions
3
  1. Given that \(\mathrm { f } ( x ) = \mathrm { e } ^ { \sin x }\), find \(\mathrm { f } ^ { \prime } ( 0 )\) and \(\mathrm { f } ^ { \prime \prime } ( 0 )\).
  2. Hence find the first three terms of the Maclaurin series for \(\mathrm { f } ( x )\).
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