`lim_(x-gt0)((sqrt(3-x)-1)/(2-x))`

lim_(x rarr0)((sqrt(1+x)-1)/(x))

lim_(x rarr0)(sqrt(x+1)-1)/(x)

lim_(x rarr0)(sqrt(x+1)-1)/(x)

lim_(xrarr0) (3sqrt(1+x-1))/(x)

Evaluate lim_(x to 2) (sqrt(3 - x) - 1)/(2 - x)

Evaluate : lim_( x -> 0 )( sqrt( 3 -x ) -1 )/ ( 2-x )

Evaluate the following limits : lim_(x to 0)(sqrt(1+3x)-sqrt(1-3x))/(x)

lim_(x rarr0)(sqrt(1+x)-sqrt(1-x))/(sqrt(1+x^(2))-sqrt(1-x^(2))) equals

STATEMENT-1: lim_(x rarr oo)(log[x])/(sqrt(([x])/(sec^(2)-1)))=0 STATEMENT-2: lim_(x rarr0)(sqrt(sec^(2)-1))/(x) does not exist.STATEMENT-3: lim_(x rarr2)(x-1)^((1)/(x-2))=1