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

lim_(x-gt0) (e^(3x)-1)/(log(1+5x))

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)

Evaluate lim_(x to 0) (sqrt(1 +x^(2))-1)/x

lim_(x->0;)(root(3)(1+3x) \ -1-x)/((1+x)^(101)-1-101 x) has the value equal to

Evaluate the limits, if exist lim_(x-gt0)(log_e(1+2x))/(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

lim_(x rarr0)(sqrt(1+x)-sqrt(1-x))/(root(3)(1+x)-root(3)(1-x))