`[(25/36)^(1/5)]^(-5/2)`

Prove that : Find the sum of the infinite series 1+(2)/(3).(1)/(2)+(2.5)/(3.6)((1)/(2))^(2)+(2.5.8)/(3.6.9)((1)/(2))^(3)+......oo

Prove that : Find the sum of the infinite series 1+(2)/(3).(1)/(2)+(2.5)/(3.6)((1)/(2))^(2)+(2.5.8)/(3.6.9)((1)/(2))^(3)+......oo

Show that 1 + 2/3.1/2 + (2.5)/(3.6) (1/2)^2 + (2.5.8)/(3.6.9) (1/2)^3 + ….. = root(3)4

int_(0)^(1) xe^(-5x) dx is equal to a) (1)/(25) - (6e^(-5))/(25) b) (1)/(25) + (6e^(-5))/(25) c) -(1)/(25) - (6e^(-5))/(25) d) (1)/(25) - (1)/(5) e^(-5)

Prove that cos^(-1) ((5)/(13))+cos^(-1) (-7/25)+sin^(-1) (36)/(325)=pi

The value of (5.(25)^(n+1) + 25.(5)^(2n-1))/(25.(5)^(2n) -105(25)^(n-1)) is :

(36^((7)/(2))-36^((9)/(2)))/(36^((5)/(2)))

Simplify ((125)/(216))^((2)/(3))xx((36)/(5))^(+2)div((25)/(6))^(-2)