Questions tagged 'Taylor Series'
2 questions
Which is the best of the following polynomial approximations to cos 2x near x=0?
Could someone explain how to solve this problem? Which of the following polynomial approximations is the best fit for cos(2x) near x = 0? a) 1 + x/2 b) 1 + x c) 1 - 2x + x² d) 1 - (1/2)x² e) 1 - 2x²
Find the second Taylor polynomial T2(x) for f(x)=e^x^2 based at a=0?
I'm trying to find the second Taylor polynomial ( T_2(x) ) for the function ( f(x) = e^{x^2} ) centered at ( a = 0 ). However, I'm stuck because I calculated the first derivative, ( f'(x) = 2x e^{x^2}...