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Sum Of The Series X Plus Y X Y 1 By 2 Factorial

Sum of the series (x + y) (x – y) + 1/2!(x + y)(x – y)(x2 + y2) + 1/3!(x... View Article

In the expansion of 2loge x – loge (x+1) – loge (x-1), the coefficient of x-4 is (1) ½ (2)... View Article

(1/2) – (1/2.22) + (1/3.23) – (1/4.24)+…. is equal to (1) ¼ (2) loge (¾) (3) loge (3/2) (4) loge... View Article

The coefficient of xn in the expansion of loga (1+x) is (1) -1n-1/n (2) (-1n-1 /n) loga e (3) (-1n-1... View Article

(x-y)/x + ½((x-y)/x)2+⅓ ((x-y)/x)3+… is equal to (1) loge (x-y) (2) loge (x+y) (3) loge (x/y) (40 loge xy Solution:... View Article

(1) 2 loge 2-2 (2) 2-loge 2 (3) 2 loge 4 (4) loge 4 Solution: Given (1/1.3 ).(1/2.5) + (1/3.7)+(1/4.9)+…... View Article

The sum of the infinite series (⅓)2 + (⅓)(⅓)4 + (⅕)(⅓)6+… is (1) ¼ log 2 (2) ½ log 2... View Article

The sum of the series log9 3 + log27 3 – log81 3 + log243 3 – …is (1) 1-loge... View Article

If 0 < y < 21/3 and x (y3 – 1) = 1, then 2/x + 2/3x3 + 2/5x5 +... View Article

The sum of the series (1/1.2)-(1/2.3)+ (1/3.4) – …. is (1) 2 log 2 +1 (2) 2 log 2 -1... View Article

(2/1). (1/3) + (3/2). (1/9) + (4/3). (1/27) + (5/4). (2/81)+… is equal to (1) ½ + loge(3/2) (2) loge3... View Article

Sum of series 1/1.2.3 + 5/3.4.5 + 9/5.6.7 +… is equal to (1) 3/2 -3loge 2 (2) 5/2 -3loge 2... View Article

It is given that 1/14 + 1/24 + 1/34 +…. = π4/90. Then 1/14 + 1/34 +1/54 +…is equal to... View Article

The sum of infinite terms of the series (1/(1+a)(2+a)) + (1/(2+a)(3+a)) +(1/(3+a)(4+a))+…. where a is a constant is (1) 1/(1+a)... View Article

1/1!(n-1)! + 1/3!(n-3)! + 1/5!(n-5)! +…. (1) 2n-4/n! for even values of n only (2) ((2n-4+1)/n!)-1 for even values of... View Article

The sum of n terms of the series 4/3 + 10/9 + 28/27 + … is Solution: Let S =... View Article

If A and B are two sets, then A ∩ (A ⋃ B) is equal to 1) A 2) B... View Article

If A and B are sets, then A ∩ (B – A) is 1) ϕ 2) A 3) B 4)... View Article

Let A = {a, b, c}, B = {b, c, d}, C = {a, b, d, e}, then A ∩... View Article

If A, B, C be three sets such that A ⋃ B = A ⋃ C and A ∩ B... View Article