Find the Taylor polynomials of degree n approximating
4/(2−2x)
for x near 0:

for n = 3
for n = 5
for n = 7

Question

Find the Taylor polynomials of degree n approximating
4/(2−2x)
for x near 0:

for n = 3
for n = 5
for n = 7

ganeshie8 · Answer

for x near 0, taylor series is gives the maclaurin series

ganeshie8 · Answer

$ f(x) =  f(0) +   xf'(0) +   \dfrac{x^2}{2!}f''(0) + \dfrac{x^3}{3!}f'''(0) + ... $

ganeshie8 · Answer

maybe start by finding the $n$th derivative of given function

anonymous · Answer

Alright. I'll try that in the morning. It's roughly 4 am here, so I'm getting some sleep. Thanks!

ganeshie8 · Answer

have good sleep :)

amistre64 · Answer

the long division creates the poly ...


          2+2x+2x^2+....  seems to be filling out rather simply
      -----------------------
1-x )  2
      -(2-2x)
       ------
             2x
          -(2x-2x^2)
          -----------
                   2x^2