Home
Class 12
MATHS
Show that 1+(x)/(2)+(x(x-1))/(2.4)+(x(...

Show that
`1+(x)/(2)+(x(x-1))/(2.4)+(x(x-1)(x-2))/(2.4.6)+....`
`=1+(x)/(3)+(x(x+1))/(3.6)+(x(x+1)(x+2))/(3.6.9)+....`

Promotional Banner

Similar Questions

Explore conceptually related problems

The series expansion of log[(1 + x)^((1 + x))(1-x)^(1-x)] is (1) 2[(x^(2))/(1.2) + (x^(4))/(3.4)+(x^(6))/(5.6)+...] (2) [(x^(2))/(1.2) + (x^(4))/(3.4)+(x^(6))/(5.6)+...] (3) 2[(x^(2))/(1.2) + (x^(4))/(2.3)+(x^(6))/(3.4)+...] (4) 2[(x^(2))/(1.2) -(x^(4))/(2.3)+(x^(6))/(3.4)-...]

The series expansion of log_(e) [(1 + x^((1 + x))(1-x)^(1-x)] is (1) 2[(x^(2))/(1.2) + (x^(4))/(3.4)+(x^(6))/(5.6)+...] (2) [(x^(2))/(1.2) + (x^(4))/(3.4)+(x^(6))/(5.6)+...] (3) 2[(x^(2))/(1.2) + (x^(4))/(2.3)+(x^(6))/(3.4)+...] (4) 2[(x^(2))/(1.2) -(x^(4))/(2.3)+(x^(6))/(3.4)-...]

(x^(2)+(1)/(x^(2)))-4(x+(1)/(x))+6

(x-1)/(3)+(2x+5)/(6)=(3x-6)/(9)-(2x-5)/(2)

(x+1)(x-3)(x+2)(x-4)+6=0

Solvef or x,(1)/((x-1)(x-2))+(1)/((x-2)(x-3))+(1)/((x-3)(x-4))=(1)/(6)

Solve for x : (1)/((x-1)(x-2))+(1)/((x-2)(x-3))+(1)/((x-3)(x-4))=(1)/(6)

(2x-1)/(3)+(3x+2)/(2)+7=(1)/(6)+(4x+3)/(6)

(2x-1)/(3)+(3x+2)/(2)+7=(1)/(6)+(4x+3)/(6)