`lim_(n rarr oo)2^(1/n)`

lim_(n rarr oo)3^(1/n) equals

lim_(n rarr oo)(2^(n+1)+3^(n+1))/(2^n+3^n) equals (A)2 (B)3 (C)5 (D)0

lim_(n rarr oo)((1+1/(n^(2)+cos n))^(n^(2)+n) equals

lim_(n rarr oo)(1)/(2)+(1)/(2^(2))+(1)/(2^(3))+...+(1)/(2^(n)) equals (a) 2 (b) -1 (c) 1 (d) 3

If the value of lim_(n rarr oo)(n^(-3/2)) sum_(j=1)^(6n) sqrt(j) is equal to sqrt(N) , then the value of N/(12) is __________

lim_(n rarr oo)((n)/(n^(2)+1^(2))+(n)/(n^(2)+2^(2)) + (n)/(n^(2)+3^(2))+......+(1)/(5n)) is equal to :

Let f(x)=lim_(n rarr oo)(x^(2n-1)+ax^(2)+bx)/(x^(2n)+1). If f(x) is continuous for all x in R then find the values of a and b.

Evaluate: ("lim")_(n rarr oo)[(n !)/(n^n)]^(1//n)

lim_(n rarr oo)((n+1)^(4)-(n-1)^(4))/((n+1)^(4)+(n-1)^(4))

f(x) = lim_(n rarr oo) ((x-1)^(2n) - 1)/((x-1)^(2n) + 1) is discontinuous at (A) x=0 only (B) x=2 only (C) x=0 and 2 (D) none of these