Home
Class 12
MATHS
If y = x-(1)/(2)x^(2) + (1)/(3)x^(3) - (...

If `y = x-(1)/(2)x^(2) + (1)/(3)x^(3) - (1)/(4)x^(4) +...` then
`x = y + (y^(2))/(2!) + (y^(3))/(3!) + (y^(4))/(4!) + ...`

Text Solution

Verified by Experts

The correct Answer is:
T
Promotional Banner

Topper's Solved these Questions

  • EXPONENTIAL AND LOGARITHMIC SERIES

    ML KHANNA|Exercise Problem Set (2) (Self Assessment Test)|8 Videos

  • EXPONENTIAL AND LOGARITHMIC SERIES

    ML KHANNA|Exercise Problem Set (2) (MULTIPLE CHOICE QUESTIONS )|28 Videos

  • EXAMINATION PAPER-2014 (IIT-JEE-MAIN)

    ML KHANNA|Exercise Multiple Choice Question |30 Videos

  • FUNCTIONS

    ML KHANNA|Exercise SELF ASSESSMENT TEST |10 Videos

Similar Questions

Explore conceptually related problems

If (1)/(x) + ( 2)/(y) = 4 and ( 3)/(y) - (1)/(x) = 11 then

y=(x+1)^(2)(x+2)^(3)(x+3)^(4)

Find each of the following products: (i) (x - 4)(x - 4) (ii) (2x - 3y)(2x - 3y) (iii) ((3)/(4) x - (5)/(6) y) ((3)/(4)x - (5)/(6) y) (iv) (x - (3)/(x)) (x - (3)/(x)) (v) ((1)/(3) x^(2) - 9) ((1)/(3) x^(2) - 9) (vi) ((1)/(2) y^(2) - (1)/(3) y) ((1)/(2) y^(2) - (1)/(3) y)

If y = 2x + 3x ^ (2) + 4x ^ (3) + ......., then (y) / (2) - (1.3) / (2!) ((Y) / (2) ) ^ (2) + (1.3.5) / (3!) ((Y) / (3)) ^ (3) -...... oo =

If y=(x-3)/(x-4)," then "(y-1)y_(2)=

(1) / (3x + y) + (1) / (3x-y) = (3) / (4) (1) / (2 (3x + y)) - (1) / (2 (3x-y) )) = - (1) / (8)

Find each of the following products: (i) (x + 3) (x - 3) (ii) (2x + 5)(2x - 5) (ii) (8 + x)(8 - x) (iv) (7x + 11y) (7x - 11y) (v) (5x^(2) + (3)/(4) y^(2)) (5x^(2) - (3)/(4) y^(2)) (vi) ((4x)/(5) - (5y)/(3)) ((4x)/(5) + (5y)/(3)) (vii) (x + (1)/(x)) (x - (1)/(x)) (viii) ((1)/(x) + (1)/(y)) ((1)/(x) - (1)/(y)) (ix) (2a + (3)/(b)) (2a - (3)/(b))

If x^(2)+y^(2)=1 and P=(3x-4x^(3))^(2)+(3y-4y^(3))^(2) then P is equal to

Solve for x and y (3x-y)/(5)=2y-1, (3x)/(8)-(y)/(4)=(1)/(2)

If x=2,y=1 then x^(4)+2x^(3)y-2xy^(3)-y^(4) is equal to