`(-1)^(49)-:(-1)^(25)`

The square root of ((1)/(4))xx((1)/(49))-:((25)/(121)) is

lim_(n rarr oo)((1+(1)/(5)+(1)/(25)+----+(1)/(5^(n)))/(1+(1)/(7)+(1)/(49)+---+(1)/(7^(n))))=

Rewrite the following sets by the set builder method. (i) {1,3,5,7,9} , (ii){(1)/(9),(1)/(25),(1)/(49),(1)/(81)} .

lim_(n rarr oo)(1+(1)/(5)+(1)/(25)+.....+(1)/(5^(n)))/(1+(1)/(7)+(1)/(49)+.....+(1)/(7^(n))) =

lim_(n to oo)[(1+(1)/(5)+(1)/(25)+.....1/(5)^(n))/(1+(1)/(7)+(1)/(49)+....+(1)/(7^(n))]] =

If 1-(1)/(2)+(1)/(3)-(1)/(4)+..=log_(e)2 , then sum (1)/(1.3)+(1)/(2.5)+(1)/(3.7)+(1)/(4.9)+ ……….

The distance between the foci of the hyperbola (x+5)^2/49-(y-3)^2/25=1 is:

1-(49)/(50)

The coefficient of x^(49) in the expansion of (x-1)(x-(1)/(2))(x-(1)/(2^(2)))......*(x+(1)/(2^(49))) is equal to