` f(x) = lim_(n->oo) sin^(2n)(pix)+[x+1/2]`, where [.] denotes the greatest integer function, is

The function f(x)=lim_(nrarroo)cos^(2n)(pix)+[x] is (where, [.] denotes the greatest integer function and n in N )

f(x)=lim_(nrarroo)cos^(2n)(pix^(2))+[x] (where, [.] denotes the greatest integer function and n in N ) is

lim_(xrarr oo) (logx)/([x]) , where [.] denotes the greatest integer function, is

lim_(xrarr oo) (logx)/([x]) , where [.] denotes the greatest integer function, is

If f(x)= [sin^2x] (where [.] denotes the greatest integer function ) then :

lim_(xrarr1([x]+[x]) , (where [.] denotes the greatest integer function )

f(x)=sin^-1[log_2(x^2/2)] where [ . ] denotes the greatest integer function.

lim_(x rarr oo) (log x)/([x]) , where [.] denotes the greatest integer function, is

lim_(x rarr1)(x sin(x-[x]))/(x-1) ,where [.]denotes the greatest integer function, is

Evaluate lim_(n->oo) [sum_(r=1)^n(1/2) ^r] , where [.] denotes the greatest integer function.