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" If "x=(1)/(5)+(1.3)/(5.10)+(1.3.5)/(5....

" If "x=(1)/(5)+(1.3)/(5.10)+(1.3.5)/(5.10.15)+..............oo" then show that "3x^(2)+6x=2

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If x=(1)/(5)+(1.3)/(5.10)+(1.3.5)/(5.10.15)+….oo then find 3x^(2)+6x.

If x=(1)/(5)+(1.3)/(5.10)+(1.3.5)/(5.10.15)+….oo then find 3x^(2)+6x.

Show that (3.5)/(5.10) + (3.5.7)/(5.10.15) + (3.5.7.9)/(5.10.15.20)+ …..oo = (5sqrt5)/(3 sqrt3) - 8/5

Show that (3.5)/(5.10) + (3.5.7)/(5.10.15) + (3.5.7.9)/(5.10.15.20)+ …..oo = (5sqrt5)/(3 sqrt3) - 8/5

3/(5x)-2/(3x)=1/10

(3^((1)/(5)))^(x)+(3^((1)/(10)))^(x-10)=84

If y=x+(x^(3))/(3)+(x^(5))/(5)+…oo , show that (dy)/(dx)=(1)/(1-x^(2)) .