M0IITU21 - Exp & Log series qns

M0IITU21 Exp - LOGARITHM 1 The coefficient of xr in the expansion of 1 a bx(a b x 1 2 n 2 1 3 x6 x9 then If y = x 2 3 5 x=(A 1 ey 3(C(1 ey)1/3 1 ey

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1 QUEST TUTORIALS Head Office : E-16/289, Sector-8, Rohini, New Delhi, Ph. 65395439 1. The coefficient of x r in the expansion of, 1 + a bx + 1! + ( ) ! a bx + 2 2 + . ..... + ( ) ! a bx n n + + . ..... is : (A) ( ) ! a b r r + (B) b r r ! (C) e b r n r ! (D) e a b r + 2. If e x = y + 1 2 + y , then y = (A) e e x x + - 2 (B) e e x x - - 2 (C) e x + e - x (D) e x - e - x 3. If y = x - x x 2 3 2 3 + - ...... , then x = (A) y - y y 2 3 2 3 + - . ..... (B) y + y y 2 3 2 3 ! ! + + . ..... (C) 1 + y y 2 3 2 3 ! ! + + . ..... (D) None of these 4. a b a a b a a b a - + - + - 1 2 1 3 2 3 + . ... is equal to : (A) log e (a - b) (B) log e a b (C) log e b a (D) e a b a - 5. If y = - x x x 3 6 9 2 3 + + + ...... , then x = (A) 1 3 + e y (B) 1 3 - e y (C) (1 - e y ) 1/3 (D) (1 - e y ) 3 6. 2
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This note was uploaded on 10/05/2011 for the course MATH 1201 taught by Professor Friesner during the Spring '11 term at St. Mary NE.

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M0IITU21 Exp - LOGARITHM 1 The coefficient of xr in the expansion of 1 a bx(a b x 1 2 n 2 1 3 x6 x9 then If y = x 2 3 5 x=(A 1 ey 3(C(1 ey)1/3 1 ey

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