sam_jones26
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Hi, could do with some help on this question if anyone can help.
Any help much appreciated, thanks
Q: Suppose a function f(.) defined on the set I = {x ∈ R∣x < 1} is as follows.
For each real number x∈ I , f(x) = 1/(1-x)
By using the Taylor expansion of this function, show that for any real number x such that
∣x∣ < 1,
f(x)= 1 + ∞
∑ x (to power j)
j =1
Any help much appreciated, thanks
Q: Suppose a function f(.) defined on the set I = {x ∈ R∣x < 1} is as follows.
For each real number x∈ I , f(x) = 1/(1-x)
By using the Taylor expansion of this function, show that for any real number x such that
∣x∣ < 1,
f(x)= 1 + ∞
∑ x (to power j)
j =1