lim_(x rarr2)(sqrt(3-x)-1)/(2-x)

lim_(x rarr2)(sqrt(x^(3)-4)-2)/(sqrt(20-x^(2))-4)

lim_(x rarr2)(sqrt(2x+5)-3)/(x-2)

a=lim_(x rarr0)(ln(cos2x))/(3x^(2)),b=lim_(x rarr0)(sin^(2)2x)/(x(1-e^(x))),c=lim_(x rarr1)(sqrt(x)-x)/(ln x)

lim_(x rarr2)sqrt((x^(2)-16)/(x^(3)-8))

lim_(x rarr0)(sqrt(1+sin3x)-1)/(log(1+tan2x))

Evaluate the limit: lim_(x rarr1)((2x-3)(sqrt(x)-1))/(2x^(2))

lim_(x rarr2)(sqrt(x-2)+sqrt(x)-sqrt(2))/(sqrt(x^(2)-4))

Evaluate lim_(x rarr2)(sqrt(x-2)+sqrt(x)-sqrt(2))/(sqrt(x^(2)-4))

lim_(x rarr0)(sqrt(x^(2)+1)-1)/(sqrt(x^(2)+9)-3)

Show that lim_(x rarr oo)(sqrt(x^(2)+x+1)-x)!=lim_(x rarr oo)(sqrt(x^(2)+1)-x)