The value of `(lim)_(x->oo)2/x"log"(1+x)` is equal to............

The value of lim_(xto 0)(log(1+2x))/(x) is equal to

The value of lim_(xrarr0)""(log(1+2x))/(x) is equal to

The value of lim_(x to 0) ((e^x-1)log(1+x))/sin^2x is equal to

lim_(x to 2)(log(x-1))/(x-2) is equal to

The value of lim_(x rarr oo)x^(2)ln(x cot^(-1)x) is

lim_(x->oo) cos log((x-1)/(x))

The value of lim _(xto0) (xe ^(x)- log (1+x))/(x ^(2)) is equal to-

For the curve represented implicitly as 3^x-2^y=1 , the value of ("Lim")_(x->oo)((dy)/(dx)) is equal to (a) 1 (b) equal to 0 (c) equal to (log)_2 3 (d) non existent

The value of lim_(x rarr oo)(x^(-4)(ln x)^(10)) is