If `x_1=3` and `x_(n+1)=sqrt(2+x_n),ngeq1,t h e n""("lim")_(xrarroo)x_n` is (a) `-1` (b) `2` (c) `sqrt(5)` (d) 3

If x_(1)=3 and x_(n+1)=sqrt(2+x_(n)),n<=1, then lim_(n rarr oo)x_(n) is

If x_(1)=3 and x_(n+1)=sqrt(2+x_(n))" ",nge1, then lim_(ntooo) x_(n) is

If x_1=3 and x_ +1= sqrt(2+x_n), n ge 1 , then lim_(nto oo) x_n is equal to

If x_(1)=1 and x_(n+1)=(1)/(x_(n))(sqrt(1+x_(n)^(2))-1),n>= then x_(n) is equal to

If I_n=int_0^(sqrt(3))(dx)/(1+x^n),(n=1,2,3. .), then find the value of ("lim")_(nvecoo)I_ndot (a)0 (b) 1 (c) 2 (d) 1/2

Let x_(0)=2(cos)(pi)/(6) and x_(n)=sqrt(2+x_(n-1))*n=1,2,3 find lim_(n rarr oo)2^(n+1)*sqrt(2-x_(n))

If a_1=1\ a n d\ a_(n+1)=(4+3a_n)/(3+2a_n),\ ngeq1\ a n d\ if\ (lim)_(n->oo)a_n=n then the value of a_n is sqrt(2) b. -sqrt(2) c. 2\ d. none of these

If quad sqrt(3) and x_(n+1)=(x_(n))/(1+sqrt(1+x_(n)^(2))),AA n in N then lim_(n rarr oo)2^(n)x_(n) is equal to ,AA n in N

f(x)=(1n(x^2+e^x))/(1n(x^4+e^(2x)))dotT h e n lim_(x->oo)f(x) is equal to (a) 1 (b) 1/2 (c) 2 (d) none of these

If y=sqrt(logx+sqrt(logx+sqrt(logx+oo))),t h e n(dy)/(dx)i s (a) x/(2y-1) (b) x/(2y+1) (c) 1/(x(2y-1)) (d) 1/(x(1-2y))