Edexcel FP1 2020 June — Question 1

Exam BoardEdexcel
ModuleFP1 (Further Pure Mathematics 1)
Year2020
SessionJune
TopicTaylor series
TypeEvaluate limit using series
  1. Use l'Hospital's Rule to show that
$$\lim _ { x \rightarrow \frac { \pi } { 2 } } \frac { \left( e ^ { \sin x } - \cos ( 3 x ) - e \right) } { \tan ( 2 x ) } = - \frac { 3 } { 2 }$$
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