Question

h(x) = 1 / (1+3t^2)
Give the eighth Taylor polynomial of h about 0.

Is there a way to do this without taking derivatives 8 times?

Answer 1

Find the rule.

Answer 2

1-3x^2+9x^4-27x^6+-.....+(-1)^n.3^2n.x^2n+...

Answer 3

1+q+q2+q3....=1/(1-q) this is rule

Answer 4

q=-3x2

Answer 5

@mahmit2012
How did you find the rule? I don't get what you did in your first post, did you plug in values?

Answer 6

you can calculate 1+q+q2+.....q^(N-1)=(1-q^N)/1-q
if abs(q)<1 and N go to inf you get my simply rule.
have fun.!!