`lim_(x->2)(sqrt(x-1)-1)/(x-2)`

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

lim_(xrarr2) (sqrt(3-x)-1)/(2-x)

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

If f(1)=1,f^(prime)(1)=2, then write the value of lim_(x->1)(sqrt(f(x))-1)/(sqrt(x)-1)

lim_(x rarr 0)(sqrt(1-x)-1)/(x)=-(1)/(2)

Evaluate the following limit: (lim)_(x->1)(sqrt(5x-4)-sqrt(x))/(x^2-1)

The value of lim_(x->1)(1-sqrt(x))/((cos^(-1)x)^2) is 4 (b) 1/2 (c) 2 (d) 1/4

Evaluate the following limit: (lim)_(x->2)(sqrt(1+4x)-sqrt(5+2x))/(x-2)

Evaluate the following limit: (lim)_(x->0)(sqrt(1+x)-sqrt(1-x))/(2x)

Evaluate the following limit: (lim)_(x->1)(sqrt(3+x)-sqrt(5-x))/(x^2-1)