Find the Maclaurin series for f(x)=(x^2+4)e^(2x) and use it to calculate the 1000th derivative of f(x) at x=0. Is it possible to just find the Maclaurin series for e^(2x) and then multiply it by (x^2+4)?

Ibrahim Rosales 2022-07-23 Answered
Find the Maclaurin series for f ( x ) = ( x 2 + 4 ) e 2 x and use it to calculate the 1000th derivative of f ( x ) at x = 0. Is it possible to just find the Maclaurin series for e2x and then multiply it by ( x 2 + 4 )?
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Answers (1)

Reinfarktq6
Answered 2022-07-24 Author has 18 answers
( x 2 + 4 ) e 2 x = ( x 2 + 4 ) n 0 ( 2 x ) n n ! = n 2 x n 2 n 2 ( n 2 ) ! + n 0 x n 2 n 4 n ! = = n 0 x n ( n ( n 1 ) 2 n 2 + 2 n + 2 n ! ) .
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

New questions