Home
Class 12
MATHS
Find the sum of the series x(x+y)+x^2(x^...

Find the sum of the series `x(x+y)+x^2(x^2+y^2)+x^3(x^3+y^3)+……to` infinity where `|x|lt1 and |y|lt1.`

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

Sum the series : x(x+y)+x^2(x^2+y^2)+x^3(x^3+y^3+ ton terms.

Find the sum of the series 1+2^(2)x+3^(2)x^(2)+4^(2)x^(3)+"...."" upto "infty|x|lt1 .

Find the sum of n terms of the series (x+y)+(x^(2)+2y)+(x^(3)+3y)+...

Find the area of the region {(x , y): x^2+y^2lt=1lt=x+y}dot

Find the area of the region {(x , y)\ : x^2+y^2lt=4,\ x+y\ geq2}

Find the area of the region {(x , y)\ : x^2+y^2lt=4,\ x+y\ geq2}

Find the area of the region {(x , y): y^2lt=4x ,4x^2+4y^2lt=9}

Find the sum of n terms of the series (x+y)+(x^(2)+xy+y^(2))+(x^(3)+x^(2)y+xy^(2)+y^(3))+...

Find the areas of the region {(x , y): y^2lt=4x ,4x^2+4y^2lt=9}, using integration.

Find the area of the region {(x ,\ y):(x^2)/(a^2)+(y^2)/(b^2)lt=1<=x/a+y/b}