(vi)((a^(3n-9))^(6))/(a^(2n-4))

Simplify that: ((a^(2n-9))^(6))/(a^(2n-4))

Simplify that: ((a^(2n-9))^6)/(a^(2n-4))

If A={p:p=((n+2)(2n^(5)+3n^(4)+4n^(3)+5n^(2)+6))/(n^(2)+2n), n p in Z^(+)} then the number of elements in the set A, is

If A={p:p=((n+2)(2n^(5)+3n^(4)+4n^(3)+5n^(2)+6))/(n^(2)+2n), n p in Z^(+)} then the number of elements in the set A, is

If S=sum_(n=2)^(oo)(3n^(2)+1)/((n^(2)-1)^(3)) then (9)/(4S) is

Prove that log_(e)((n^(2))/(n^(2)-1))=(1)/(n^(2))+(1)/(2n^(4))+(1)/(3n^(6))+

lim_(n rarr oo)((n^(3)-2n^(2)+1)^((1)/(2))+(n^(4)+1)^((1)/(3 ))))/((n^(6)+6n^(5)+2)^((1)/(4))-(n^(7)+3n^(2)+1)^((1 )/(5)))

Evaluate : underset(nrarroo)"lim"(3n^(2)-4n+6)/(n^(2)+6n-7)

The sum of the series 1+4+3+6+5+8+ upto n term when n is an even number (n^(2)+n)/(4) 2.(n^(2)+3n)/(2) 3.(n^(2)+1)/(4) 4.(n(n-1))/(4)(n^(2)+3n)/(4)

Prove be mathematical induction : (1)/(3.6)+(1)/(6.9)+(1)/(9.12)+...+(1)/(3n(3n+3))=(n)/(9(n+1))