2. (a) 10g(1 - x) = - I:~=l xk /k. (b) x2 /(1- x3) = I:~=o x3k+2....
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2.
(a) 10g(1 - x) = - I:~=l xk /k.
(b) x2 /(1- x3) = I:~=o x3k+2.
(c) eX /(1- x) = I:~o(I:7=o l/j!)xk.
(d) x3/(1 - x)2 = I:~=l kxk+2.
(e) arcsin x = I:~=o (-V2) (_1)k x2k+1 /(2k + 1). (Use Theorem 7.54.)
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