[20.96m" क "6],[" (i) "((root(n)(a))^(sqrt(n)))^(sqrt(n));a>0" (3"n in N]

lim_(n rarr oo)(3+sqrt(n))/(sqrt(n))

lim_(n rarr oo)(sqrt(n+1)-sqrt(n))=0

n in N,((1+i)/(sqrt(2)))^(8n)+((1-i)/(sqrt(2)))^(8n)=

lim_(n rarr oo)((sqrt(n+3)-sqrt(n+2))/(sqrt(n+2)-sqrt(n+1)))

n in N((1+i)/(sqrt(2)))^(8n)+((1-i)/(sqrt(2)))^(8n)=

When n=8,(sqrt(3)+i)^(n)+(sqrt(3)-i)^(n)=

If n in N((1+i)/(sqrt(2)))^(8n)+((1-i)/(sqrt(2)))^(8)n is

Find the values of m and n if : 4^(2m)=(root(3)(16))^(-(6)/(n))=(sqrt(8))^(2)

Show that the integral part in each of the following is odd. n in N . (i) (5+2sqrt(6))^(n) (ii) (8+3 sqrt(7))^(n) (iii) (6+sqrt(35))^(n)

Evaluate : lim_(n to oo)[(sqrt(n))/((3+4sqrt(n))^(2))+(sqrt(n))/(sqrt(2)(3sqrt(2)+4sqrt(n))^(2))+(sqrt(n))/(sqrt(3)(3sqrt(3)+4sqrt(n))^(2))+.......+(1)/(49n)]