`lim_(x->oo)[sqrt(x+sqrt(x+sqrt(x)))-sqrt(x)]` is equal to (a)0 (b) `1/2` (c) log 2 (d) `e^4`

lim_(xto3)(sqrt(x)-sqrt(3))/(sqrt(x^(2)-9)) is equal to

lim_(xto 1^-) (sqrtpi-sqrt(2sin^-1x))/(sqrt(1-x)) is equal to

lim_(xto4)(sqrt(1+x)-sqrt(9-x))/(x-4) is equal to

lim_(xto oo)(sqrt(4x^(2)+2x+1)-sqrt(4x^(2)+1)) is

lim_(xto0)(sqrt(x^(2)+1)-1)/(sqrt(x^(2)+9)-3) is

Evaluate: lim_(x to oo) (sqrt(x+2)-sqrt(2))/(x) .

The value of ("lim")_(xto2)(sqrt(1+sqrt(2+x))-sqrt(3))/(x-2)i s (a) 1/(8sqrt(3)) (b) 1/(4sqrt(3)) (c) 0 (d) none of these

lim_(xto oo)sqrt((x-sinx)/(x+cos^(2)x))=

Find lim_(xrarr4)[sqrt(2x+1)-3]/[sqrt(x-2)-sqrt2]