Find two different Taylor series to represent the function f(x) = 1/x such that one series is
Question:
Find two different Taylor series to represent the function
f(x) = 1/x
such that one series is
f(x) = a0 + a1(x − 1) + a2(x − 1)2 +· · ·
and the other is
f(x) = b0 + b1(x − 2) + b3(x − 2)2 +· · ·
Show that bn = an/2n for any value of n. Find the interval of convergence for each series (the ratio test may be used). Which series must you use in the vicinity of x = 3? Why?
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Related Book For
Question Posted: