The correct matching of List I from List-II is : List-I List-II (A) (1-x)^{-n} (i) \frac{x}{x+1} (B) (1+x)^{-n} \text{ (ii) } 1-n x+\frac{n(n+1)}{2 !} x^2-. . . \text{ if }|x|< 1 (C) If x > 1, then 1+\frac{1}{x}+\frac{1}{x^2}+. . . is (iii)1+n x+\frac{n(n+1)}{2 !} x^2+. . . \text{ if }|x| < 1 (D) If |x| > 1, then 1-\frac{2}{x^2}+\frac{3}{x^4}-\frac{4}{x^6}+. . .is (iv) \frac{x}{x-1} (v) \frac{x^4}{ (x^2+1) ^2} (vi) \frac{x^4}{ (x^2-1) ^2}

Correct Answer is : (A-iii), (B-ii), (C-iv), (D-v)

EAMCET Engineering 2006 Solved Paper

Section: Mathematics

Question : 90 of 160

Marks: +1, -0

The correct matching of List I from List-II is :

List-I

List-II

(A) (1−x)−n

(i) ‌

x+1

(B) (1+x)−n

‌‌ (ii) ‌1−nx+‌

n(n+1)

x2−...
‌‌ if ‌|x|<1

+‌

+... is

(iii)‌1+nx+‌

n(n+1)

x2+...
‌‌ if ‌|x|<1

(D) If |x|>1, then
1−‌

+‌

−‌

+...is

(iv) ‌

x−1

(v) ‌

(x2+1)2

(vi) ‌

(x2−1)2

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